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(e) an (f) an = √n+1-√n (g) an = √n²+1 n = 2n n! [Hint: First prove that an ≤ 4/n for all n € N.]

(e) an (f) an = √n+1-√n (g) an = √n²+1 n = 2n n! [Hint: First prove that an ≤ 4/n for all n € N.]

Algebra & Trigonometry with Analytic Geometry
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 73E
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e, f and g only for this part

For each sequence, prove it converges or diverges. If it converges, find its limit. an (f) an = (g) an n (-1)n- -3n+2 210 TITI 5 n² +1 n n+1 = √n 2[Hint: First prove that an ≤ 4/n for all n € N.] n!
Transcribed Image Text:For each sequence, prove it converges or diverges. If it converges, find its limit. an (f) an = (g) an n (-1)n- -3n+2 210 TITI 5 n² +1 n n+1 = √n 2[Hint: First prove that an ≤ 4/n for all n € N.] n!
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