Use the power series 1 1 + x Σ(-1)^x, x < 1 n=0 to find a power series for the function, centered at 0. /x+1 x + 1 f(x) = In(x + 1) = .dx

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the power series
1
1 + x
n=0
to find a power series for the function, centered at 0.
√x
f(x) =
(-1)^x, x < 1
f(x) = In(x + 1) =
00
n = 0
1
x + 1
.dx
Determine the interval of convergence. (Enter your answer using interval notation.)
(-1,1]
Transcribed Image Text:Use the power series 1 1 + x n=0 to find a power series for the function, centered at 0. √x f(x) = (-1)^x, x < 1 f(x) = In(x + 1) = 00 n = 0 1 x + 1 .dx Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1]
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