an + 1 Use the Ratio Test to try to determine if the series converges or diverges. Begin by writing the limit of the ratio, lim an n-00 1 an+1 lim (n + 1)P = lim Rewrite the expression in terms of n and p. an 1

Calculus: Early Transcendentals
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Author:James Stewart
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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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an +1
Use the Ratio Test to try to determine if the series converges or diverges. Begin by writing the limit of the ratio, lim
an
1
an + 1
lim
(n + 1)°
= lim
Rewrite the expression in terms of n and p.
1
Transcribed Image Text:an +1 Use the Ratio Test to try to determine if the series converges or diverges. Begin by writing the limit of the ratio, lim an 1 an + 1 lim (n + 1)° = lim Rewrite the expression in terms of n and p. 1
Expert Solution
Step 1

As from the ratio test,

L=limnan+1an

If L < 1, then series converges

If L> 1, then series diverges

If L = 1, then test is inconclusive

 

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