Given the infinite series E (- 1)n" Which one of the following statements n =1 37 is TRUE? O A. By the Ratio test, lim 1. ,hence the series Diverges. an+1 an O B. an+1 The series is Absolutely Convergent, lim an 1 hence the series Converges. 3 OC Diverges by Alternating series test. O D. By the RATIO test, the series is inconclusive. O E. None of the choices in this list.
Given the infinite series E (- 1)n" Which one of the following statements n =1 37 is TRUE? O A. By the Ratio test, lim 1. ,hence the series Diverges. an+1 an O B. an+1 The series is Absolutely Convergent, lim an 1 hence the series Converges. 3 OC Diverges by Alternating series test. O D. By the RATIO test, the series is inconclusive. O E. None of the choices in this list.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 1
Given the infinite series 2 (- 1)"
3"
Which one of the following statements
is TRUE?
1.
hence the series Diverges.
3)
an+1
OA.
By the Ratio test, lim
an
1.
hence the series Converges.
3.
an+1
O B.
The series is Absolutely Convergent, lim
an
OC Diverges by Alternating series test.
O D. By the RATIO test, the series is inconclusive.
E. None of the choices in this list.
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