   Chapter 11.1, Problem 54E

Chapter
Section
Textbook Problem

Determine whether the sequence converges or diverges. If it converges, find the limit. { 1 1 , 1 3 , 1 2 , 1 4 , 1 3 , 1 5 , 1 4 , 1 6 , ... }

To determine

a) The sequence converges or diverges

b) If it converges, find the limit

Explanation

1) Concept:

Use the definition and find the limit.

2) Definition:

Converges: If limnan exists then the sequence is called convergent

Diverges: If limnan does not exist then the sequence is called divergent

3) Given:

an=1,13,12,14,13,15,14,16,

4) Calculation:

Consider the given sequence,

an=1,13,12,14,13,15,14,16,

Here,

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