Problem

Find a power series representation for the functi…

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Problem 9 Easy Difficulty

Find a power series representation for the function and determine the interval of convergence.
$ f(x) = \frac {x - 1}{x + 2} $

Answer

$1-3 \cdot \sum_{n \geq 0} \frac{(-1)^{n} x^{n}}{2^{n+1}}$

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

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Yiming Z.

University of Illinois at Urbana-Champaign