(d) { 2 n² + 7 8n +3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Only part (d) please :)

We are asked to proof this by negating the definition of convergence. So, we need to suppose M >0. Then go from there.

For reference of the solution I am looking for is shown in image 2 (part c)

Thank you!

Prove that each of the following sequences diverges:
(a) {4n-5} (b) {√3n+ 1}
3
(Ⓒ) { 2n + ³ } (0) { }
n² +7
8n +3
(Hint: in each case, show that the sequence is unbounded.)
Transcribed Image Text:Prove that each of the following sequences diverges: (a) {4n-5} (b) {√3n+ 1} 3 (Ⓒ) { 2n + ³ } (0) { } n² +7 8n +3 (Hint: in each case, show that the sequence is unbounded.)
. In each case, prove the sequence is unbounded. For example, in (c),
2 = 2√n.
2n+3
√n
Transcribed Image Text:. In each case, prove the sequence is unbounded. For example, in (c), 2 = 2√n. 2n+3 √n
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