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3. Determine if the following statements are true or false. If false, provide a counterexample. If yes, justify. (a) If lim a, = 0, then the series a, is convergent. (b) If lim a, = 1/3, then the series a, is divergent.

3. Determine if the following statements are true or false. If false, provide a counterexample. If yes, justify. (a) If lim a, = 0, then the series a, is convergent. (b) If lim a, = 1/3, then the series a, is divergent.

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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3. Determine if the following statements are true or false. If false, provide a counterexample. If yes, justify. (a) If lim a, = 0, then the series a, is convergent. (b) If lim a, =1/3, then the series > a, is divergent.
Transcribed Image Text:3. Determine if the following statements are true or false. If false, provide a counterexample. If yes, justify. (a) If lim a, = 0, then the series a, is convergent. (b) If lim a, =1/3, then the series > a, is divergent.
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