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Consider the series 2 1 1 + + + + 5 3² 52 33 53 34 3 54 + 201 (a) Show convergence or divergence by the Comparison Test. (b) Show convergence or divergence by the Root Test. (c) Why is there an issue to use the Ratio Test to show convergence

Consider the series 2 1 1 + + + + 5 3² 52 33 53 34 3 54 + 201 (a) Show convergence or divergence by the Comparison Test. (b) Show convergence or divergence by the Root Test. (c) Why is there an issue to use the Ratio Test to show convergence

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Real Analysis II
2. Consider the series 1 1 + + + + + + 3 5 3² 52 33 53 34 54 1x (a) Show convergence or divergence by the Comparison Test. (b) Show convergence or divergence by the Root Test. (c) Why is there an issue to use the Ratio Test to show convergence or divergence?
Transcribed Image Text:2. Consider the series 1 1 + + + + + + 3 5 3² 52 33 53 34 54 1x (a) Show convergence or divergence by the Comparison Test. (b) Show convergence or divergence by the Root Test. (c) Why is there an issue to use the Ratio Test to show convergence or divergence?
Expert Solution
Step 1

Given That :

Series is 

13+15+132+152+133+153+134+154+...

a)

Show convergence or divergence by comparison test 

b)

Show convergence or divergence by roo test 

c)

Why is the issue to use the ratio test to show convergence or divergence ?

 

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