f(x)=2/(19+x). Find the power series representation and the interval of convergence.

Trent Carpenter 2021-09-04 Answered
f(x)=219+x
Find the power series representation and the interval of convergence.
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Expert Answer

FieniChoonin
Answered 2021-09-05 Author has 102 answers

f(x)=219+x
=2191+x19
=219n=0(x19)n
=n=0(2xn19n+1)
The power serires representation:
f(x)=n=0(2xn19n+1)
he interval of convergence is:
|x19|<119<x<19
x(19,19)

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