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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 8RE
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d and e only

topic: Sequence and Series

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