2x Let f(r) = (1 – x²)² ° (a) Express f(x) as a power series. n (b) Using the result in la, find the sum of > 4n-1° (c) Compute f(2022) (0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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2x
Let f(x) =
(1 – x²)²°
(a) Express f(x) as a power series.
n
(b) Using the result in la, find the sum of >
4n-1
n=1
(c) Compute f(2022) (0).
Transcribed Image Text:2x Let f(x) = (1 – x²)²° (a) Express f(x) as a power series. n (b) Using the result in la, find the sum of > 4n-1 n=1 (c) Compute f(2022) (0).
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