Differentiate a power series Question Use the power series representation 1 f(x) = %3D n-1 (1 + x)° n=1 to find a power series representation for g(x) on the interval (-1, 1). (1+2)* Select the correct answer below: O g(x) =n(n + 1)(x)"-1 n=1 O g(æ) =n(n + 1)(-a)" n=1 O g(æ) =n(n+ 1)(-a)"-1 n=1 O g(x) = > n(n + 1)(-1)"교기-1 n=1
Differentiate a power series Question Use the power series representation 1 f(x) = %3D n-1 (1 + x)° n=1 to find a power series representation for g(x) on the interval (-1, 1). (1+2)* Select the correct answer below: O g(x) =n(n + 1)(x)"-1 n=1 O g(æ) =n(n + 1)(-a)" n=1 O g(æ) =n(n+ 1)(-a)"-1 n=1 O g(x) = > n(n + 1)(-1)"교기-1 n=1
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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Transcribed Image Text:Differentiate a power series
Question
Use the power series representation
f(x) =
En(-x)"1,-1 < a <
(1 + æ)?
n=1
to find a power series representation for
g(x)
on the interval (-1, 1).
(1+2)
Select the correct answer below:
O g(x) =n(n + 1)(x)"-1
n=1
O g(a) = n(n + 1)(-a)"
n=1
O 9(x) = n(n + 1)(-a)"-1
n=1
O g(x) =
n(n+ 1)(-1)"a"-1
n=1
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