8. 2. Let an be convergent with an > 0 for all n. Now consider (an). n=1 n=1 a) Explain in words why it must be true that (an)2 < an for sufficiently large n. b) Does (an)² converge or diverge? Explain in words and be sure to cite a test n=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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8.
2. Let an be convergent with an > 0 for all n. Now consider (an).
n=1
n=1
a) Explain in words why it must be true that (an)2 < an for sufficiently large n.
b) Does (an)² converge or diverge? Explain in words and be sure to cite a test
n=1
Transcribed Image Text:8. 2. Let an be convergent with an > 0 for all n. Now consider (an). n=1 n=1 a) Explain in words why it must be true that (an)2 < an for sufficiently large n. b) Does (an)² converge or diverge? Explain in words and be sure to cite a test n=1
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