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b) Use the ratio test to determine whether the series k Σk² +1 converges. If the test is inconclusive, then say so.

b) Use the ratio test to determine whether the series k Σk² +1 converges. If the test is inconclusive, then say so.

Calculus: Early Transcendentals
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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b) Use the ratio test to determine whether the series k k² +1 converges. If the test is inconclusive, then say so. c) Determine whether the alternating series converges; justify your answer. Σ(-1)²+1 +1 I √k+1 A-1
Transcribed Image Text:b) Use the ratio test to determine whether the series k k² +1 converges. If the test is inconclusive, then say so. c) Determine whether the alternating series converges; justify your answer. Σ(-1)²+1 +1 I √k+1 A-1
3. a) Use differentiation to show that the given sequence -2n3+00 In=1 {ne is strictly increasing or strictly decreasing. b) Use the limit comparison test to determine whether the series k(k + 3) Σ(k+1)(k+2)(k+5) converges.
Transcribed Image Text:3. a) Use differentiation to show that the given sequence -2n3+00 In=1 {ne is strictly increasing or strictly decreasing. b) Use the limit comparison test to determine whether the series k(k + 3) Σ(k+1)(k+2)(k+5) converges.
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