5. Determine the radius of convergence for the fo llowing power series 3n li) (5x+7)*" ()5r's «-1) n.6n (2n)! n=1 n =.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q5. Determine the radius of convergence
for the following power series
(5x+7)*
3n
li)
Σ
5(x-1)
(2n)!
n=1
n =1
Q6. (i) Given Ilog(1+e) = t -t +t-t"+
フ
2
4
valid for Itl<1, determine
serles for
the
power
log(+2x ) up to powersof
4
and burite down the radius ofconvergence,
;) Given e`=1+t+t +t t- ., Valid fer all t,
)(iven
2! 3!
I+t +t'rt'+-n,
velid fer 1t)<I,
and
show
e
=1-3x +
2
2
19
24
Transcribed Image Text:Q5. Determine the radius of convergence for the following power series (5x+7)* 3n li) Σ 5(x-1) (2n)! n=1 n =1 Q6. (i) Given Ilog(1+e) = t -t +t-t"+ フ 2 4 valid for Itl<1, determine serles for the power log(+2x ) up to powersof 4 and burite down the radius ofconvergence, ;) Given e`=1+t+t +t t- ., Valid fer all t, )(iven 2! 3! I+t +t'rt'+-n, velid fer 1t)<I, and show e =1-3x + 2 2 19 24
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