Find the power series for f(x) =8x³(1-x4)²2Hint: First, find the power series for g(x) =1x41(Express numbers in exact form. Use symbolic notation and fractions where needed.)8in the form S an.n=1an =Then differentiate.

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Find the power series for f(x) = 8x³ (1-x4)² Hint: First, find the power series for g(x) = an = 8 in the form Sa n=1 2 1- x4 * (Express numbers in exact form. Use symbolic notation and fractions where needed.) an. Then differentiate.

Find the power series for f(x) = 8x³ (1-x4)² Hint: First, find the power series for g(x) = an = 8 in the form Sa n=1 2 1- x4 * (Express numbers in exact form. Use symbolic notation and fractions where needed.) an. Then differentiate.

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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Question

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Find the power series for f(x) =
8x³
(1-x4)²
2
Hint: First, find the power series for g(x) =
1x41
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
8
in the form S an.
n=1
an =
Then differentiate.

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