Show everything please. In great detail, evaluate the following sequences for convergence or divergence:(a) {sin(n)n(b) {sin (n)}sin(c) {-() }n

The given sequences are The aim is to find the given sequence convergence or divergence.

Answered: In great detail, evaluate the following…

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

Show everything please.

In great detail, evaluate the following sequences for convergence or divergence:
(a) {
sin(n)
n
(b) {sin (n)}
sin
(c) {-() }
n

Expert Solution

Step 1: Determine the given information:

The given sequences are

$a right parenthesis space open curly brackets fraction numerator sin left parenthesis n right parenthesis over denominator n end fraction close curly brackets b right parenthesis space open curly brackets sin left parenthesis n right parenthesis close curly brackets c right parenthesis open curly brackets fraction numerator sin open parentheses 1 over n close parentheses over denominator 1 over n end fraction close curly brackets$

The aim is to find the given sequence convergence or divergence.