Use the power series DO 1 1 + x (-1)"x", Ix| < 1 n = 0 to find a power series for the function, centered at 0. f(x) = In(x + 1) = 1 dx x + 1 DO 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
Section: Chapter Questions
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Use the power series
Σ
DO
1
1 + x
2(-1y°x, Ix| < 1
n = 0
to find a power series for the function, centered at 0.
1) = /
1
dx
f(x) = In(x
X + 1
DO
f(x) = )
n = 0
Determine the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series Σ DO 1 1 + x 2(-1y°x, Ix| < 1 n = 0 to find a power series for the function, centered at 0. 1) = / 1 dx f(x) = In(x X + 1 DO f(x) = ) n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
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