Use the power series 00 1 E(-1)^x^, Ix\ < 1 n = 0 1 + x

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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Use the power series
1
1 + x
2(-1)^xn, \x| < 1
n = 0
to find a power series for the function, centered at 0.
f(x) = In(x6 + 1)
6n+6
f(x) = E (-1)"
n+1
n = 0
Determine the interval of convergence. (Enter your answer using interval notation.)
(-1,1)|
Transcribed Image Text:Use the power series 1 1 + x 2(-1)^xn, \x| < 1 n = 0 to find a power series for the function, centered at 0. f(x) = In(x6 + 1) 6n+6 f(x) = E (-1)" n+1 n = 0 Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)|
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