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205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:46:34 | so it doesnt have to converge to 0 | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:46:45 | well look just because it has that (-1)^n+1 term doesnt make it alternating | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:46:57 | the 2^n drags it up enough | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:47:08 | Okay, but how do i know if (-1)^inf is 1 or -1? | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:20 | its not going to matter for large n | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:47:28 | Since 2^n grows much faster? | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:31 | yea | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:36 | a million plus or minus one | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:40 | i mean were still in handwavey land | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:45 | actually dealing with it analytically is another thing | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:47:46 | So essentially for large n i have (2^n)^1/n ? | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:50 | but just in figuring out what to show here | 0 | 1 | 174,602,502,975,651,840 | Calzs | 3486 | Calzs | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:47:56 | well | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:48:18 | $( \frac{ 2^n }{ n } ) ^{\sfrac{1}{n}}$ | 0 | 1 | 261,933,205,387,477,000 | riemann | 2529 | riemann | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 510,789,298,321,096,700 | TeXit | 12/23/2021 08:48:21 | **jan Niku** | 331558346333224964.png | 0 | 1 | null | null | null | null | null | ||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:48:42 | I mean that n doesn't matter too, right? The same reason why (-1) doesn't matter | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:48:48 | 2^n grows much faster than n i think | 1 | 0 | 484,702,191,156,985,860 | themateo713 | 5303 | mateo713 | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:48:59 | well it becomes $\frac{2}{\sqrt[n]{n}}$ | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 510,789,298,321,096,700 | TeXit | 12/23/2021 08:49:02 | **jan Niku** | 331558346333224964.png | 0 | 1 | null | null | null | null | null | ||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:49:19 | ,w graph 2/( xth root x) | 0 | 1 | 174,602,502,975,651,840 | Calzs | 3486 | Calzs | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 510,789,298,321,096,700 | TeXit | 12/23/2021 08:49:25 | Results provided by WolframAlpha | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:49:28 | :sully: | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:50:09 | I am not sure why you didn't remove that / n since it grows much slower than 2^n. I always thought exponential grows much faster than polynomial | 1 | 0 | 174,602,502,975,651,840 | Calzs | 3486 | Calzs | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:19 | dont remove it | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:50:21 | And that we would have (2^n)^1/n then which would be 1 | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:22 | use exponent rules | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:27 | were already one step into hand wavey | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:34 | everything we remove we have to go back and show is insignificant | 0 | 1 | 706,934,233,012,371,600 | Ansh_ | 3502 | Arya | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:39 | once we figure out what result we want to show | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 183,668,144,404,037,630 | Ann | 12/23/2021 08:50:46 | 2 | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:47 | anyways the limit doesnt look like 1 | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:50:48 | i think its 2 | 0 | 1 | 174,602,502,975,651,840 | Calzs | 3486 | Calzs | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:52:01 | Oh, its actually not inf^0 but rather 2^(n*1/n) which would be 2^1 = 2. | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:52:08 | 👀 | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:52:10 | So both ways work | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:52:21 | im not sure how you get that | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:52:44 | Well by removing the /n because i think its insignificant 😄 | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:52:50 | its not | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:53:09 | i mean idk im a dumbie right but to me | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:53:18 | you dont usually remove pieces that have n in them | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:53:25 | I don't understand how it isn't insignificant. I mean even if you leave it we would also get 2 at the end right? | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:53:27 | because the interaction of pieces with n determine the growth of this thing | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:53:48 | you want them as simple as possible before you 'remove' them because then you can clearly reason to yourself why they are insignificant | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:53:57 | but i am also dumb :thonk: | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:54:03 | Well, my reasoning was that 2^n grows much faster than n | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:54:04 | i would go this way | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:54:10 | sure | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:54:14 | It was clear enough for me, but if its wrong i won't remove it | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:54:16 | but look how complicated that interaction is | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:54:30 | idk its up to you i guess im being a stickler i dont understand your reasoning but im also tired | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:54:40 | i feel like this is much clearer | 331558346333224964.png | 0 | 1 | null | null | null | null | null | ||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:54:58 | since then all that remains is to convince yourself that the limit of nth root of n is 1 | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:55:06 | but either way | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:55:12 | now that you believe the limit is 2 | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:55:17 | all thats left to do is go back and show it | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:55:21 | if thats part of the exercise at least | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:55:47 | It's not a part of it | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:55:51 | oh | 0 | 1 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:55:53 | :hype: | 0 | 1 | 935,213,814,117,441,700 | icebear | 2028 | icebear | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:55:59 | I just needed to see what that converges to | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:56:12 | So i could finally calculate my R 🙂 | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:56:24 | Thank you so much man! | 1 | 0 | null | null | null | null | null | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 331,558,346,333,224,960 | jan Niku | 12/23/2021 08:56:26 | np | 0 | 1 | 935,213,814,117,441,700 | icebear | 2028 | icebear | false | |||||
205,720 | help-1 | b1ff0db61ea64ab092075179366b4182 | 214,305,946,090,995,700 | Dzoni | 12/23/2021 08:56:33 | .close | 1 | 0 | null | null | null | null | null | |||||
205,721 | help-1 | 918a1813fd1b4c1197f831ca8e316c4b | 485,903,210,272,391,200 | dldh06 | 01/28/2022 22:57:22 | Not a bad deal on yogurt | 1 | 0 | 863,220,109,731,168,300 | Handsome Bro | 8940 | Handsome Bro | false | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:31:57 | how to prove that this improper integral converges? | 2022-01-29_10.png | 1 | 0 | 863,220,109,731,168,300 | Handsome Bro | 8940 | Handsome Bro | false | ||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:32:27 | i tried using the comparison test but im not sure what functions i should use | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 356,908,116,429,897,700 | Kaynex | 01/28/2022 23:34:10 | It's definitely smaller than 9x/(x²)⁴ | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:35:14 | but how to prove that it converges | 1 | 0 | 935,213,814,117,441,700 | icebear | 2028 | icebear | false | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:36:57 | the function that kaynex gives you converges--and if the integral is SMALLER than that, then it also converges | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 356,908,116,429,897,700 | Kaynex | 01/28/2022 23:36:57 | What does it mean for an integral to converge? | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:37:56 | doesnt \int _{0}^{\infty }\dfrac{9x}{\left( x^{2}\right) ^{4}}dx diverge? | 1 | 0 | 482,756,098,592,604,160 | I smell like parchment | 8344 | I smell like parchment | false | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:37:59 | $\int _{0}^{\infty }\dfrac{9x}{\left( x^{2}\right) ^{4}}dx$ | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 510,789,298,321,096,700 | TeXit | 01/28/2022 23:38:03 | **Random guy** | 673062964059701258.png | 0 | 1 | null | null | null | null | null | ||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:38:56 | no? | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:38:59 | oh wait | 0 | 1 | 482,756,098,592,604,160 | I smell like parchment | 8344 | I smell like parchment | false | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 356,908,116,429,897,700 | Kaynex | 01/28/2022 23:39:08 | Oh kek | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 761,155,030,513,352,700 | Bungo | 01/28/2022 23:39:11 | It diverges due to the asymptote at the origin being too "thick" | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:39:14 | yeah it does lmao | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 761,155,030,513,352,700 | Bungo | 01/28/2022 23:39:25 | The tail behavior at infinity is OK though | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:39:40 | :bleakkekw: | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 356,908,116,429,897,700 | Kaynex | 01/28/2022 23:39:42 | It converges into infinity, which is what we want to capture | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:40:06 | then what function shall i consider | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 356,908,116,429,897,700 | Kaynex | 01/28/2022 23:40:08 | Ignore the 0 part it never mattered anyway | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:40:29 | bruh | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 356,908,116,429,897,700 | Kaynex | 01/28/2022 23:40:36 | bruh | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:42:04 | are you allowed to just | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:42:05 | find it? | 0 | 1 | 456,226,577,798,135,800 | Deleted User | 0000 | Deleted User | false | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 328,662,734,008,746,000 | Geopchad | 01/28/2022 23:42:10 | and show that the limit goes to infinity | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:42:33 | im pretty sure this limit converges | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:42:49 | i mean integral | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:42:51 | lol | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 761,155,030,513,352,700 | Bungo | 01/28/2022 23:43:32 | The denominator satisfies $(x^2 + 4)^4 \geq 4^4$, so the integrand is less than $9x / 4^4$, which you can use as a comparison function on, say, the interval $[0,1]$. | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 510,789,298,321,096,700 | TeXit | 01/28/2022 23:43:35 | **OurBelovedBungo** | 761155030513352705.png | 0 | 1 | null | null | null | null | null | ||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:44:06 | oh | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:44:07 | i see | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 761,155,030,513,352,700 | Bungo | 01/28/2022 23:44:59 | Then on $[1,\infty)$ use the fact that the denominator also satisfies $(x^2 + 4)^4 \geq x^8$, so the function is also bounded by $9x / x^8$, which is integrable on $[1,\infty)$. | 0 | 1 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 510,789,298,321,096,700 | TeXit | 01/28/2022 23:45:03 | **OurBelovedBungo** | 761155030513352705.png | 0 | 1 | null | null | null | null | null | ||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:45:28 | thanks for your help | 1 | 0 | null | null | null | null | null | |||||
205,722 | help-1 | e4ea2888718446c69540ee50f21127b3 | 673,062,964,059,701,200 | Random guy | 01/28/2022 23:45:52 | i think i understand now | 1 | 0 | null | null | null | null | null |
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