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