Evaluate the infinite series by identifying it as the value of an integral of a geometric series. (– 1)" 2n +1 n=0 1 Hint: Write it as / f(t)dt where f(x) =£(-1)"2²" 1+ x2 n=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Evaluate the infinite series by identifying it as the value of an integral of a
geometric series.
(– 1)"
2n +1
n=0
1
Hint: Write it as / f(t)dt where f(x) =£(-1)"2²"
|
1+ x2
n=0
Transcribed Image Text:Evaluate the infinite series by identifying it as the value of an integral of a geometric series. (– 1)" 2n +1 n=0 1 Hint: Write it as / f(t)dt where f(x) =£(-1)"2²" | 1+ x2 n=0
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