4. Which of the following statements are true about the series (-1)" In(n)? n² 8] n=1 I Series is convergent. II Series is absolutely convergent. III Series is conditionally convergent. (a) I and II only. (b) II only. (c) I only. (d) II and III only. (e) none of I, II, or III are true.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
4. Which of the following statements are true about the series
8
n=1
(−1)” ln(n) ?
n²
I Series is convergent.
II Series is absolutely convergent.
III Series is conditionally convergent.
(a) I and II only.
(b) II only.
(c) I only.
(d) II and III only.
(e) none of I, II, or III are true.
Transcribed Image Text:4. Which of the following statements are true about the series 8 n=1 (−1)” ln(n) ? n² I Series is convergent. II Series is absolutely convergent. III Series is conditionally convergent. (a) I and II only. (b) II only. (c) I only. (d) II and III only. (e) none of I, II, or III are true.
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