Solve step by step in digital format a) Expand (1+x) In(1+x) in Maclaurin series. find the limits over x for convergence. b) From the results for part a) show that In 2 - 1 1 + 2 n=1 (1) n+1 n(n + 1)'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Solve step by step in digital format
a) Expand (1+x) ln(1+x) in Maclaurin series. find the limits over x for convergence.
b) From the results for part a) show that
In 2
2
1
∞
n=1
(1)n+1
n(n + 1)*
Transcribed Image Text:Solve step by step in digital format a) Expand (1+x) ln(1+x) in Maclaurin series. find the limits over x for convergence. b) From the results for part a) show that In 2 2 1 ∞ n=1 (1)n+1 n(n + 1)*
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