# quiz2 - do not have other problems to deal with and are...

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MAT 127: Calculus C Mini-Quiz: convergence/divergence of sequences/series DO NOT TURN THIS PAGE OVER YET This mini-quiz is for practice only . It will not be graded or even collected. On the next page, you will ﬁnd 5 sequences and 5 series. You need to determine whether each of them converges and circle YES or NO, without justifying your answer (but keep a reason in mind). A similar problem on the ﬁnal exam will contain a total of 5 sequences and series. You have 10 minutes to answer all 10 questions. Taking about 10 minutes on the analogous, 5-question, problem on the ﬁnal should be ok (this would be one point per minute, which is what you need to average). Thus, you are being asked to complete the mini-quiz at about 2 times the pace needed for the ﬁnal exam; this is because you

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Unformatted text preview: do not have other problems to deal with and are under less pressure. However, please do not rush through the analogous problem on the nal. Determine whether each of the following sequences or series converges or not. In each case, clearly circle either YES or NO , but not both. (a) the sequence a n = (-1) n-1 n n 2 + 1 YES NO (b) the sequence a n = 1 + cos(2 /n ) YES NO (c) the sequence a n = n cos n YES NO (d) the sequence a n = (-1) n n n + 1 YES NO (e) the sequence a n = sin 2 n 1 + n YES NO (f) the series X n =1 n n 2 + 1 YES NO (g) the series X n =1 4 + 3 n 2 n YES NO (h) the series X n =1 7 n n ! YES NO (i) the series X n =1 sin n 2 n YES NO (j) the series X n =1 (-1) n n n 2 + 1 YES NO...
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## This note was uploaded on 01/25/2012 for the course MAT 127 taught by Professor Guan-yushi during the Fall '07 term at SUNY Stony Brook.

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quiz2 - do not have other problems to deal with and are...

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