. Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (a) an = (-1)" (b) an = Vn +1 In(n³) (c) an = 2n (n + 1)!

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 71E
icon
Related questions
Question

topic: Sequence and Series

. Determine the convergence or divergence of the sequence with the given nth term. If the sequence
converges, find its limit.
(а) а, 3D (-1)"
(b) an =
Vn +1
In(n³)
(c) an =
2n
(n + 1)!
(d) an =
n!
sin n
(e) an =
n
Transcribed Image Text:. Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (а) а, 3D (-1)" (b) an = Vn +1 In(n³) (c) an = 2n (n + 1)! (d) an = n! sin n (e) an = n
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage