Use partial fractions as an aid in obtaining the Maclaurin series for the given function. 7i f(z) = (z-7)(z-81) \n+1 n+1 .n Σ( ( ( 1 ) ² + ¹ - ( ² )^²+ ¹)²² ) 8i k=0 Give the

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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Use partial fractions as an aid in obtaining the Maclaurin series for the given function.
7i
(z-1)(z-81)
f(z):
=
1 \n+1
n
Σ( (( 4 )^² + ¹ - ( ² ) ² + ¹)²²_)
1
8i
k = 0
eBook
Give the radius of convergence of the series.
1
Transcribed Image Text:Use partial fractions as an aid in obtaining the Maclaurin series for the given function. 7i (z-1)(z-81) f(z): = 1 \n+1 n Σ( (( 4 )^² + ¹ - ( ² ) ² + ¹)²²_) 1 8i k = 0 eBook Give the radius of convergence of the series. 1
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