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I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If lim a, # 0 then, the sequence (an} is divergent. (b) Suppose the infinite series a, is divergent. Then for any constant c, the series 1 > ca, is also divergent. (c) Let s, = a1 + .. + an. If lim sn = 0, then the series a,n is convergent.

I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If lim a, # 0 then, the sequence (an} is divergent. (b) Suppose the infinite series a, is divergent. Then for any constant c, the series 1 > ca, is also divergent. (c) Let s, = a1 + .. + an. If lim sn = 0, then the series a,n is convergent.

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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I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If lim an #0 then, the sequence {an} is divergent. (b) Suppose the infinite series a, is divergent. Then for any constant c, the series 2 ca, is also divergent. n=1 (c) Let s, = a + ... + an. If lim s, = 0, then the series an is convergent.
Transcribed Image Text:I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If lim an #0 then, the sequence {an} is divergent. (b) Suppose the infinite series a, is divergent. Then for any constant c, the series 2 ca, is also divergent. n=1 (c) Let s, = a + ... + an. If lim s, = 0, then the series an is convergent.
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