Use the Maclaurin series for ln(1 + x) and ln(1 x) to show that for |x|

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Use the Maclaurin series for ln(1 + x) and ln(1 − x) to show that

In 1+x 1-x =x+ + 3

for |x|


Data From Exercise 42

Show that for |x|

tanh-1 x = x+ X 3 5

Recall that d dx tanhx= 1 1-x

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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