For the part circled in pink, can you show how we do the Algebra here? 13 2k+131.k=1 3k-1x2k+33k-1x2so that the radius of convergence is v3.311.2.31 Using the Ratio Test: limak+1%3Dak3kx2k+1At x = V3, the series is 3/3, which diverges. At r = -V3, the series is (-3/3), which also diverges,k=1k=1so the interval of convergence is (-V3, v3).2k

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Math

Calculus

24+1 35-1

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

100%

For the part circled in pink, can you show how we do the Algebra here?

2k+1
31.
k=1 3k-1
x2k+3
3k-1
x2
so that the radius of convergence is v3.
3
11.2.31 Using the Ratio Test: lim
ak+1
%3D
ak
3k
x2k+1
At x = V3, the series is 3/3, which diverges. At r = -V3, the series is (-3/3), which also diverges,
k=1
k=1
so the interval of convergence is (-V3, v3).
2k

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