Find a formula for the power series of f(x) = 4 ln (1 + x), –1 < x < 1 in the form a,. Hint: First, find the power series for g(x) = 4 Then integrate. 1+ x (Express numbers in exact form. Use symbolic notation and fractions where needed.) a, =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 40E
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Find a formula for the power series of f(x) = 4ln (1 + x), –1 < x < 1 in the form a,.
n=1
Hint: First, find the power series for g(x)
4
Then integrate.
1 + x
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
an =
Transcribed Image Text:00 Find a formula for the power series of f(x) = 4ln (1 + x), –1 < x < 1 in the form a,. n=1 Hint: First, find the power series for g(x) 4 Then integrate. 1 + x (Express numbers in exact form. Use symbolic notation and fractions where needed.) an =
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