Find a power series representation of f(x) = x tan¬'r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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1. Find a power series representation of
f(x) = x tan-'x
I.
(-1)" ,
( a) Σ
n+1
n=0
(b) E".
2n+1
2n+1
n=0
( c) Σ (-1)" 2n πο
n=0
2n+2
(d) 2 2n+1
(e) 1)"„2n+2
2n+1
n=0
n-0
Transcribed Image Text:1. Find a power series representation of f(x) = x tan-'x I. (-1)" , ( a) Σ n+1 n=0 (b) E". 2n+1 2n+1 n=0 ( c) Σ (-1)" 2n πο n=0 2n+2 (d) 2 2n+1 (e) 1)"„2n+2 2n+1 n=0 n-0
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