Q3:If a sequence (an) is convergent, then prove two of the following: 1. It is bounded. Is the converse true? 2. It has a unique convergent point. 3. It is Cauchy sequence.

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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Q3:If a sequence (an) is convergent, then prove two of the following:
1. It is bounded. Is the converse true?
2. It has a unique convergent point.
3. It is Cauchy sequence.
Transcribed Image Text:Q3:If a sequence (an) is convergent, then prove two of the following: 1. It is bounded. Is the converse true? 2. It has a unique convergent point. 3. It is Cauchy sequence.
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