Problem

Find a power series representation for the functi…

01:08

Problem 5 Easy Difficulty

Find a power series representation for the function and determine the interval of convergence.
$ f(x) = \frac {2}{3 - x} $

Name: find a power series representation for the function and determine the interval of convergence fx f 3
Uploaded: 2018-02-25
Duration: 50 s
Channel: Numerade
Description: Find a power series representation for the function and determine the interval of convergence. $ f(x) = \frac {2}{3 - x} $

Answer

$\frac{2}{3} \sum_{n=0}^{\infty} \frac{x^{n}}{3^{n}}$

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 9

Representations of Functions as Power Series

Discussion

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Video Transcript

okay. Fun of power. Serious reputation for function and determine the in the role of convergence. So we don't realise this form into one One is that's over three. We just put their out three. So have us. Because this one and because two thirds times one Oh, one hour, actually, three. So this way, seriously, it's gonna be like and in this international number from zero to infinity And the reason Burgess is going to be this and get even Eyes thie. Absolute hell of absences on three. Okay.

Yiming Z.

University of Illinois at Urbana-Champaign