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1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:13:36 | is C correct? | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 200,013,547,491,688,450 | a disappointing son | 04/17/2022 21:14:32 | seems so, though i don't like how close that graph is to 2 at x=0 :bleak: | 0 | 1 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 521,326,998,195,273,700 | shreksdad | 04/17/2022 21:14:46 | Lol | 0 | 1 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 521,326,998,195,273,700 | shreksdad | 04/17/2022 21:14:55 | Not sure why they would do something like that... | 0 | 1 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:15:01 | unknown.png | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 521,326,998,195,273,700 | shreksdad | 04/17/2022 21:15:07 | More room for confusion rather than understanding the idea of limits | 0 | 1 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:15:09 | I think C is also correct here | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:15:28 | cuz there is a discontinuity at 0 | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:15:38 | and lim as x approaches infinity is -1 | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 200,013,547,491,688,450 | a disappointing son | 04/17/2022 21:16:12 | are you sure about that last one? | 0 | 1 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:16:20 | half sure | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:18:01 | with l'hopital's rule it comes out to be 0 | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:03 | I'm just worried I got something wrong because I've selected C in the last three problems... | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:08 | thanks | 1 | 0 | null | null | null | null | null | |||||
1,934 | help-10 | 1397cd45fd54413fbfb317434e4f773f | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:10 | .close | 1 | 0 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 200,013,547,491,688,450 | a disappointing son | 04/17/2022 21:19:19 | C isn't right on this one :bleakcat: | 1 | 0 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:23 | oh | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:24 | sheit | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:31 | how | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 200,013,547,491,688,450 | a disappointing son | 04/17/2022 21:19:34 | you just told me lhopitals tells you the limit is 0 | 1 | 0 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:38 | yes | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:19:49 | which means it's true? | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 200,013,547,491,688,450 | a disappointing son | 04/17/2022 21:19:54 | yeah | 1 | 0 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:20:12 | if (I) is true then how can only (III) be true? | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:20:13 | .reopen | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:20:34 | I thought 1 wasn't true | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:20:43 | there is a discontinuity at 0 | 0 | 1 | 200,013,547,491,688,450 | a disappointing son | 0540 | a disappointing son | false | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:20:45 | moreover did you check (II)? | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:20:55 | there is in fact no discontinuity at 0 | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 200,013,547,491,688,450 | a disappointing son | 04/17/2022 21:20:56 | the function is defined at x=0 | 1 | 0 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:21:15 | the value assigned at x=0 matches the limit as x -> 0 | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:21:19 | Ohh shit I just noticed | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:21:20 | hence continuous | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:21:29 | Yeah idk bro brain fart | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:21:45 | no worries, it happens 😀 | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:21:51 | So it is A | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:21:59 | nope | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:22:04 | check II and III | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:22:10 | It is D | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:22:23 | in particular, III is *implied* by I (do you see why?) | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:22:39 | Yeah | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:22:47 | I don't understand how 2 is correct though | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 761,155,030,513,352,700 | Bungo | 04/17/2022 21:22:55 | and II is true because |1 - cos(x)| <= 1 + |cos(x)| <= 1 + 1 = 2 | 0 | 1 | null | null | null | null | null | |||||
1,936 | help-10 | 35fe2f576f27406f9d4f0cfcc467adfe | 357,974,039,425,187,840 | will159454 | 04/17/2022 21:25:43 | .close | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:33:56 | unknown.png | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:34:04 | from the step in blue to the step in red | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:34:07 | im rather confused | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:35:06 | they factor out a $(-1)^k(k+1)$ | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 510,789,298,321,096,700 | TeXit | 04/17/2022 21:36:00 | **Joseph Fourier** | 250708380644016128.png | 0 | 1 | null | null | null | null | null | ||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:36:18 | and it becomes: $(-1)^k(k+1)[\frac{-k}{2} + (k+1)]$ | 1 | 0 | 761,155,030,513,352,700 | Bungo | 8186 | Bungo | false | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:37:04 | So which part confuses you | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:37:54 | how does $(-1)^k(k+1) * \frac{-k}{2} = \frac{(-1)^{k-1} k(k+1}{2}$ | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 510,789,298,321,096,700 | TeXit | 04/17/2022 21:38:01 | **Joseph Fourier** | 250708380644016128.png | 0 | 1 | null | null | null | null | null | ||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:38:14 | tell me its an error please | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 510,789,298,321,096,700 | TeXit | 04/17/2022 21:38:48 | **Joseph Fourier** | 250708380644016128.png | 0 | 1 | null | null | null | null | null | ||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:38:48 | $(-1)^k(-1) = (-1)^{k+1} = (-1)^{k-1}$ | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 510,789,298,321,096,700 | TeXit | 04/17/2022 21:38:51 | **Zybikron** | 334482942506041345.png | 0 | 1 | null | null | null | null | null | ||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:39:15 | o my fuck | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:39:23 | why tf is that allowed | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:39:58 | $(-1)^{k+1} = (-1)^{k-1} (-1)^2 = (-1)^{k-1}$ | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 510,789,298,321,096,700 | TeXit | 04/17/2022 21:40:00 | **Zybikron** | 334482942506041345.png | 0 | 1 | null | null | null | null | null | ||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:40:01 | they breaking the rules here chief | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:40:38 | ay bro this should be illegal | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:40:54 | im calling the police | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:40:56 | why? they're just using the fact that it's -1 to a power. This wouldn't work for anything else | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:41:02 | except 1, i guess | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:41:05 | Yeah I'm joking | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:41:10 | it just feels illegal | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:41:13 | lol | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:41:22 | it happens sometimes | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:41:25 | they're using some sorcery | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:41:31 | thanks man | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:41:43 | why do u do it | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:41:53 | like just spend so much time helping people | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 250,708,380,644,016,130 | joey | 04/17/2022 21:42:06 | @Zybikron | 1 | 0 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:42:34 | I like teaching, here I get to choose who to help (I can skip over the a-holes) | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:42:43 | and I usually do this when I'm not doing something else lol | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:43:05 | plus it keeps me up to date on my fundamentals, which is nice | 0 | 1 | null | null | null | null | null | |||||
1,937 | help-10 | c7c1353471694486810bfbd5fa413223 | 334,482,942,506,041,340 | Zybikron | 04/17/2022 21:43:29 | I've relearned a bunch of stuff I forgot since I showed up here | 0 | 1 | null | null | null | null | null | |||||
1,938 | help-10 | 6be224c4093844a3909aa00d1144e15c | 295,466,136,470,814,700 | Gwaine | 04/17/2022 22:24:32 | 2/ 4-5x is equal to 2(4-5x)^-1 right? | 1 | 0 | null | null | null | null | null | |||||
1,938 | help-10 | 6be224c4093844a3909aa00d1144e15c | 925,042,255,427,948,500 | BasuDev | 04/17/2022 22:25:33 | Ye it is | 0 | 1 | null | null | null | null | null | |||||
1,938 | help-10 | 6be224c4093844a3909aa00d1144e15c | 295,466,136,470,814,700 | Gwaine | 04/17/2022 22:26:01 | thanks | 1 | 0 | null | null | null | null | null | |||||
1,938 | help-10 | 6be224c4093844a3909aa00d1144e15c | 295,466,136,470,814,700 | Gwaine | 04/17/2022 22:26:07 | .close | 1 | 0 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 236,512,531,777,060,860 | Nakopork | 04/17/2022 22:48:49 | image0.jpg | 1 | 0 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 236,512,531,777,060,860 | Nakopork | 04/17/2022 22:48:55 | Hello how to do this | 1 | 0 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 236,512,531,777,060,860 | Nakopork | 04/17/2022 22:49:12 | @Helpers | 1 | 0 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 118,536,946,527,109,120 | Migillope | 04/17/2022 22:51:59 | unknown.png | 0 | 1 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 598,041,720,583,618,600 | Disorganized | 04/17/2022 22:54:42 | ,rotate | 0 | 1 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 598,041,720,583,618,600 | Disorganized | 04/17/2022 22:55:18 | @Nakopork ,rotate | 0 | 1 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 598,041,720,583,618,600 | Disorganized | 04/17/2022 22:56:01 | \*\*\*\*. Whelp, this person is a lost cause | 0 | 1 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 118,536,946,527,109,120 | Migillope | 04/17/2022 22:56:36 | ,rotate | 0 | 1 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 236,512,531,777,060,860 | Nakopork | 04/17/2022 23:04:12 | Ok sorry | 1 | 0 | null | null | null | null | null | |||||
1,939 | help-10 | 684e62740f3b46fe95fe7470e122b473 | 236,512,531,777,060,860 | Nakopork | 04/17/2022 23:04:32 | ,rotate | 1 | 0 | null | null | null | null | null | |||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 204,815,495,835,287,550 | gav | 04/17/2022 23:46:49 | I am not sure how to find out if f"(2) is positive or negative. I know that f(2) = 0 and that because its decreasing f'(2) is some negative number. | unknown.png | 1 | 0 | null | null | null | null | null | ||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 411,882,877,933,060,100 | Ｈｅｒｅｌｓ | 04/18/2022 00:07:00 | f is concave if im not wrong | 0 | 1 | null | null | null | null | null | |||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 411,882,877,933,060,100 | Ｈｅｒｅｌｓ | 04/18/2022 00:07:15 | so huh f''(2) must be negative | 0 | 1 | null | null | null | null | null | |||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 204,815,495,835,287,550 | gav | 04/18/2022 00:15:03 | Is it not 0? | 1 | 0 | null | null | null | null | null | |||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 204,815,495,835,287,550 | gav | 04/18/2022 00:15:24 | The answer key says it has to be C | 1 | 0 | null | null | null | null | null | |||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 204,815,495,835,287,550 | gav | 04/18/2022 00:16:54 | I watched a khan academy video about it and looking at f(x) around f(2) its decreasing more from the left than the right, so shouldnt there be a concavity change at f'(2) making f''(2) = 0? | 1 | 0 | 334,482,942,506,041,340 | Zybikron | 5611 | Zybikron | false | |||||
1,940 | help-10 | f939780f7d54410982048c5cbebf4546 | 204,815,495,835,287,550 | gav | 04/18/2022 00:19:46 | f(x) decreases by 1 on [1, 2] and decreases less than 1 at [2,3] | 1 | 0 | null | null | null | null | null |
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