Problem

Use the binomial series to expand the function as…

01:26

Problem 33 Medium Difficulty

Use the binomial series to expand the function as a power series. State the radius of convergence.

$ \frac {1}{(2 + x)^3} $

Name: use the binomial series to expand the function as a power series state the radius of convergence fra
Uploaded: 2018-04-07
Duration: 2 min 10 s
Channel: Numerade
Description: Use the binomial series to expand the function as a power series. State the radius of convergence. $ \frac {1}{(2 + x)^3} $

Answer

$\sum_{n=0}^{\infty}(-1)^{n} \frac{(n+1)(n+2)}{2^{n+4}} x^{n}, \quad R=2$

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Discussion

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Video Transcript

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