Problem

Use the binomial series to expand the function as…

02:10

Problem 32 Medium Difficulty

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

$ \sqrt [3]{8 + x} $

Answer

$2+\frac{x}{12}+2 \sum_{n=2}^{\infty}(-1)^{n+1} \frac{2 \cdot 5 \cdot 8 \cdots(3 n-4)}{24^{n} \cdot n !} x^{n}, \quad R=8$

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

the problem is hears about Nami ofthe serious trees expands of function upon Siri's stages. A regis of commitments but for my other half, first to be rewriting his function. Two hands, one last fax over it. The public want food and all manner. How this's equal to two times some time from zero tweets. Amenity. It's there. Yeah, axe to ax over. Pete the power. This is a conscious some from zero to infinity to his house. Then comes one over it to the part of end times. Thanks to parliament, cover computes the limit on cost Unity. How so? Shoot house one through eight. Here we go. One on one wine, two houses, one third and over it to the party, which is what is the limit and cost to infinity Housel Audio off one third, minus over it Hams Trust want. So this is a two one over eight. So the readers of convergence is the one true eight

Wen Z.