5. Let en be a positive series. Which of the following is/are correct? I. If lim n/2c, = 3 then en is convergent. II. If en = 6 then (-1)" – convergent. III. If lim e" cn = 0 then en is convergent. IV. If lim = 4 then > en diverges. A) I only B) II only C)I, II and IV D)I, III and IV E) I and IV

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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5. Let en be a positive series. Which of the following is/are correct?
Σ
n=1
I. If lim n/2cn = 3 then en is convergent.
n=1
1
II. If en = 6 then (-1)" – convergent.
Cn
n=1
n=1
III. If lim e" cn = 0 then en is convergent.
n+00
n=1
IV. If lim = 4 then
n+00 n
Cn diverges.
n=1
A) I only
в) П only
C)I, II and IV
D)I, III and IV
E) I and IV
Transcribed Image Text:5. Let en be a positive series. Which of the following is/are correct? Σ n=1 I. If lim n/2cn = 3 then en is convergent. n=1 1 II. If en = 6 then (-1)" – convergent. Cn n=1 n=1 III. If lim e" cn = 0 then en is convergent. n+00 n=1 IV. If lim = 4 then n+00 n Cn diverges. n=1 A) I only в) П only C)I, II and IV D)I, III and IV E) I and IV
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