Use the power series 00 1 E(-1)^x" 1 + x n = 0 to determine a power series, centered at 0, for the function. 1 dx x + 1 f(x) = In(x + 1) = Σ f(x) = n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the power series
00
E(-1)^x"
1 + x
n = 0
to determine a power series, centered at 0, for the function.
1
dx
х+ 1
f(x) = In(x + 1) =
f(x) = >
n = 0
Identify the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series 00 E(-1)^x" 1 + x n = 0 to determine a power series, centered at 0, for the function. 1 dx х+ 1 f(x) = In(x + 1) = f(x) = > n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)
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