Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
student	can you show me on board what you mean	16,108	132	[]
volunteer	yes but pls wait while I enable stylus	16,108	133	[]
volunteer	pone more minute	16,108	134	[]
volunteer	See what I wrote in blue?	16,108	135	[]
student	yes	16,108	136	[]
volunteer	Have u seen that before?	16,108	137	[]
student	i think i have	16,108	138	[]
volunteer	OK u should rvw that I will go to next step now	16,108	139	[]
volunteer	OK?	16,108	140	[]
student	got it	16,108	141	[]
volunteer	OK Now next step	16,108	142	[]
volunteer	I mult by 1/x / 1/x OK?	16,108	143	[]
student	ok	16,108	144	[]
volunteer	almost done	16,108	145	[]
volunteer	do u follow the algegra?	16,108	146	[]
volunteer	algebra	16,108	147	[]
student	how do you get 1/cosx and sinx/x	16,108	148	[]
volunteer	ok	16,108	149	[]
volunteer	I will dd soem red to previous step	16,108	150	[]
volunteer	does that help?	16,108	151	[]
volunteer	and I will circle in green I hope	16,108	152	[]
student	yes	16,108	153	[]
volunteer	OK	16,108	154	[]
volunteer	now we have a prpdcit	16,108	155	[]
volunteer	product	16,108	156	[]
volunteer	I will do next step	16,108	157	[]
volunteer	Therefore if both of those limits exist (and we know their vlaues) we are done!	16,108	158	[]
volunteer	I wihat is the first limit?	16,108	159	[]
student	1	16,108	160	[]
volunteer	good	16,108	161	[]
volunteer	now for the seond one look at the limits given at start of question	16,108	162	[]
volunteer	we need the one I circled in black	16,108	163	[]
student	ok	16,108	164	[]
volunteer	it is given in the question	16,108	165	[]
student	1	16,108	166	[]
volunteer	yes !!	16,108	167	[]
volunteer	so what is the answer?	16,108	168	[]
student	1	16,108	169	[]
volunteer	yes !!!	16,108	170	[]
volunteer	good	16,108	171	[]
volunteer	did that all make sense?	16,108	172	[]
student	yes	16,108	173	[]
volunteer	good	16,108	174	[]
volunteer	ready for b?	16,108	175	[]
student	yes	16,108	176	[]
volunteer	can I erase so work t make room?	16,108	177	[]
student	yes	16,108	178	[]
volunteer	OK what do u think about b?	16,108	179	[]
student	substitute 0?	16,108	180	[]
volunteer	well yes good start	16,108	181	[]
volunteer	but what happens if you do that?	16,108	182	[]
student	undefined	16,108	183	[]
volunteer	I agree	16,108	184	[]
volunteer	Now does b resemble anything given in the question?	16,108	185	[]
student	sin x / x =1	16,108	186	[]
volunteer	yes	16,108	187	[]
volunteer	but not exactly the same	16,108	188	[]
volunteer	can u get it into a form like sinx/x ?	16,108	189	[]
student	divide both sides by 3	16,108	190	[]
volunteer	very clsoe	16,108	191	[]
volunteer	why not replce 3 by 2*(3/2)?	16,108	192	[]
volunteer	to start	16,108	193	[]
volunteer	or (3/2)*2 which is the same	16,108	194	[]
student	can you show on board	16,108	195	[]
volunteer	Yes	16,108	196	[]
volunteer	I will try to use blue	16,108	197	[]
volunteer	The liitle x menas multiply OK?	16,108	198	[]
student	why did we multiply by 3/2	16,108	199	[]
volunteer	I will cricle and maybe u eill see why	16,108	200	[]
volunteer	oops I forgot the x	16,108	201	[]
volunteer	does that help?	16,108	202	[]
student	wasn't the bottom 3x originally?	16,108	203	[]
volunteer	yes	16,108	204	[]
volunteer	and it still is but in a different form!	16,108	205	[]
volunteer	you see 3/2 times 2x = 3x !!!	16,108	206	[]
student	oh ok	16,108	207	[]
volunteer	now the green part has exactly the same form as sin(x)/x I mean we could let big X = 2x and we would have sim(X)/X see what I mean?	16,108	208	[]
student	yes	16,108	209	[]
volunteer	OK so what do u think the limit is for the green part?	16,108	210	[]
student	kind of stuck still	16,108	211	[]
volunteer	OK two comment:	16,108	212	[]
volunteer	1. I will explain what I meant 2. Your tchr may have wanted u to use a trig identity here butI do not think thaa is needed	16,108	213	[]
volunteer	I will explain	16,108	214	[]
volunteer	we know limit as x -> 0 sin(x)/x is what (it is given above)?	16,108	215	[]
student	yes	16,108	216	[]
volunteer	so what is its vlae as given?	16,108	217	[]
volunteer	for lim x -> 0 sin(x)/x ?	16,108	218	[]
student	1	16,108	219	[]
volunteer	it is given in the ques	16,108	220	[]
volunteer	yes	16,108	221	[]
volunteer	OK now the green has the same *form as that	16,108	222	[]
volunteer	I mean 2x can be if we cnahge it in bot num adn denom see wha I mean?	16,108	223	[]
student	yes, would you continue to draw out step by step	16,108	224	[]
volunteer	OK	16,108	225	[]
volunteer	I changed the name to w OK?	16,108	226	[]
student	ok	16,108	227	[]
volunteer	Now I will circle	16,108	228	[]
volunteer	now from the question we know hte limit of what is in black as x -> 0 what is it?	16,108	229	[]
student	1	16,108	230	[]
volunteer	hint w is lust like x	16,108	231	[]

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