Use the power series TiE(-1)x", \x| < 1 n- 0 1 + x to find a power series for the function, centered at 0. f(x) = In(x6 + 1) Σ f(x) = n= 0 Determine the interval of convergence. (Enter your answer using interval notation.)

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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Use the power series
00
1
1 + x
2(-1)"x", \x| < 1
n = 0
to find a power series for the function, centered at 0.
f(x) = In(xº + 1)
f(x) = )
Σ
n = 0
Determine the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series 00 1 1 + x 2(-1)"x", \x| < 1 n = 0 to find a power series for the function, centered at 0. f(x) = In(xº + 1) f(x) = ) Σ n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
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