MTH 133 Study Guide - Quiz Guide: Absolute Convergence, Ibm System P, Ratio Test
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If you have a question raise your hand and i will come to you. Determine whether the series converges absolutely, converges conditionally or diverges. You must show all of your work show your reasons for deciding to use a certain test and support your conclusions. 0 < 1 < (2 points: (4 points) ( 1)n. 1(cid:112)(n + 1)2 + 1: (4 points) ( 1)n n! (n + 1)! 1 n2 + 1 (2 points) (cid:12)(cid:12)(cid:12)(cid:12) (1 point) (2n)! (cid:12)(cid:12)(cid:12)(cid:12)( 1)n n! (n + 1)! (2n)! (2n)! n! (n + 1)! (1 point) Solution: ratio test (n + 1)! (n + 2)! (2n + 2)! lim n lim n . < 1 so converges absolutely. (1 point: (2 points) what conclusion, if any, can you draw from the nth term test for divergence when it is.
