6Let an,4(a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, enter DIVERGES(b) Determine whether the seriesa, converges.n=1O The series is convergent because it's a convergent geometric series.O The series diverges because it's a divergent geometric series.O The series converges because it's a multiple of a convergent p-series.O The series diverges because it's a multiple of a divergent p-series.O The series converges by Divergence Test since lim a,=0.n- 0oO The series diverges by Divergence Test since lim a, # 0.n- 00

Answered: Image /qna-images/answer/15541849-399d-4d74-9e91-9b8c2ca4b048.jpg

Answered: 6. Let an n4

Math

Calculus

6. Let an n4

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter13: Sequences And Series

Section13.CR: Chapter Review

Problem 6CC

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Question

6
Let an
,4
(a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it diverges, enter DIVERGES
(b) Determine whether the series
a, converges.
n=1
O The series is convergent because it's a convergent geometric series.
O The series diverges because it's a divergent geometric series.
O The series converges because it's a multiple of a convergent p-series.
O The series diverges because it's a multiple of a divergent p-series.
O The series converges by Divergence Test since lim a,=0.
n- 0o
O The series diverges by Divergence Test since lim a, # 0.
n- 00

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