Which of the followings are true? 1.En=1 7?+Inn (-1)" is absolutely convergent. II. >n=1 (-1)m is conditionally convergent. 2 III. 00 Ln=1 (-1)"-1 is conditionally convergent. IV. n=1 (-1)"n is conditionally convergent. n+7 O a. II, IV O b. I, IV O c. I, III O d. II, III O e. I, III, IV

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the followings are true?
1.En=1 7?+Inn
(-1)"
is absolutely convergent.
II. >n=1
(-1)m
is conditionally convergent.
2
III. 00
Ln=1
(-1)"-1
is conditionally convergent.
IV. n=1
(-1)"n
is conditionally convergent.
n+7
O a. II, IV
O b. I, IV
O c. I, III
O d. II, III
O e. I, III, IV
Transcribed Image Text:Which of the followings are true? 1.En=1 7?+Inn (-1)" is absolutely convergent. II. >n=1 (-1)m is conditionally convergent. 2 III. 00 Ln=1 (-1)"-1 is conditionally convergent. IV. n=1 (-1)"n is conditionally convergent. n+7 O a. II, IV O b. I, IV O c. I, III O d. II, III O e. I, III, IV
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