For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(x) = √ x · ln(1 + x) dx f(x) = C + Σ + ΣΟ n=1 f(x) = C+ + + + + +* The open interval of convergence is: (Give your answer in help (intervals).)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
Question
For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5
nonzero terms of the power series and the open interval of convergence.
f(x) = √ x · ln(1 + x) dx
f(x) = C + Σ
+ ΣΟ
n=1
f(x) = C+ + + + + +*
The open interval of convergence is:
(Give your answer in help (intervals).)
Transcribed Image Text:For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(x) = √ x · ln(1 + x) dx f(x) = C + Σ + ΣΟ n=1 f(x) = C+ + + + + +* The open interval of convergence is: (Give your answer in help (intervals).)
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