6. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z = In 1+x 1-x and find its interval of convergence. (b) Find the exact sum of 8 1 n=0 2²¹ (2n +1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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6. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z
x
(1+7)
and find its interval of convergence.
= In
=
(b) Find the exact sum of
n=0
1
22n (2n +1)
Transcribed Image Text:6. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z x (1+7) and find its interval of convergence. = In = (b) Find the exact sum of n=0 1 22n (2n +1)
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