MAT136H1 Study Guide - Quiz Guide: Squeeze Theorem
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MAT136H1 Full Course Notes
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Calculate the sum of the series(cid:80) n=1 an whose partial sums are given by the following expression: n3 1. 2n3 + 3n 1 n3 1. Determine whether the series is convergent or divergent. We obtain that the limit limn an (cid:54)= 0, and therefore, Divergence test. n=1 an is divergent by the. If convergent, evaluate the limit. an = cos n. Your answer: convergent, lim n an = 0. Observe that 1 cos n 1 for any n. we have. Note that the rst term of the series is 4 . T0101 (m3) t0201 (r4) t0301 (t4) t5101 (t5) t5201 (r5) The quiz consists of one question worth 1 point. Determine whether the following sequence is convergent or divergent. If convergent, evaluate the limit. an = sin. Observe that when n is even, (cid:16)n (cid:17) However, when n is odd, sin oscillate between 1 and 1, or. Writing down the terms of the given sequence, we have.
