Use the result of Exercise 49 to prove that Use your knowledge of alternating series to find

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Use the result of Exercise 49 to prove that

In 3 2 || 1 1 2 2.22 + 1 3.23 1 4.24

Use your knowledge of alternating series to find an N such that the partial sum Sapproximates ln 3/2 to within an error of at most 10−3. Confirm using a calculator to compute both SN and ln 3/2.


Data From Exercise 49

Apply integration to the expansion

to prove that for -1 < x < 1, 00 1 1. (1)"x" = 1-x+x - t 1 + x n=0 In(1 + x) = 00  n=l (1)"-1x" n x2 2 3 14 4


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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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