A) 1 tion centered at zero for g(x) find a power series representa- State the answer in sigma notation. (Hint: (1+2x)2 9(x) = — — — f'(x).) B) find a power series representation centered at zero for p(x) = ln(1 + 2x). (Hint: p(x) = √ f(x)dx.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Please answer parts a and b

A)
1
tion centered at zero for g(x)
find a power series representa-
State the answer in sigma notation. (Hint:
(1+2x)2
9(x) = — — — f'(x).)
B)
find a power series representation
centered at zero for p(x) = ln(1 + 2x). (Hint: p(x) = √ f(x)dx.)
Transcribed Image Text:A) 1 tion centered at zero for g(x) find a power series representa- State the answer in sigma notation. (Hint: (1+2x)2 9(x) = — — — f'(x).) B) find a power series representation centered at zero for p(x) = ln(1 + 2x). (Hint: p(x) = √ f(x)dx.)
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