The series > n=1 1 (a) converges because lim = 0. n0 Vn (b) diverges because lim = 0. (c) converges because it is a p-series with p = 1/2. (d) diverges because it is a p-series with p= 1/2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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The series >
n=1
1
(a) converges because lim
= 0.
n0 Vn
(b) diverges because lim
= 0.
(c) converges because it is a p-series with p = 1/2.
(d) diverges because it is a p-series with p= 1/2.
Transcribed Image Text:The series > n=1 1 (a) converges because lim = 0. n0 Vn (b) diverges because lim = 0. (c) converges because it is a p-series with p = 1/2. (d) diverges because it is a p-series with p= 1/2.
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