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1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, converges (C) 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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Question

Determine whether each of the following statements are true or false.

If true, please explain why. If false, give a counterexample (whichever is appropriate). Recall that a counterexample is a specific example which shows that a statement is false. So, if I said, "All numbers are even", you would say this statement is false and remark that "3" is a counterexample.

1.
If {an} converges, then {a} converges (C).
Suppose that limn00 |nt1 = . Then >, n2" an converges (C).
an
in=1
2.

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