   Chapter 9.9, Problem 52E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Finding the Sum of a Series In Exerciser 47-52, find the sum of the convergent series by using a well-known function. Identify the function and explain how you obtained the sum. ∑ n = 1 ∞ ( − 1 ) n + 1 1 3 2 n − 1 ( 2 n − 1 )

To determine
The sum of the convergent series n=1(1)n+1132n1(2n1) by using a well-known function. Identify the function and explain how we obtain the sum.

Explanation

Given n=1(1)n+1132n1(2n1)

Explanation:

Fromquestion 28 we have,

arc.tan2x=n=0(1)n(2x)n+12n+1So,   n=1(1)n+1132n1(2n1)=n=0(1)n132

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