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Consider the alternating series (-1)+1b, where bn > 0 for all n ≥ 1. Suppose that (1) bn+1 < bn for all n. (2) lim bn 318 00 Then,(-1)+1bn n=1 61 n=1 O may converge or may diverge - more information is needed. O diverges by the Alternating Series Test. O converges to 61 O diverges by the Divergence Test. O converges by the Alternating Series Test.

Consider the alternating series (-1)+1b, where bn > 0 for all n ≥ 1. Suppose that (1) bn+1 < bn for all n. (2) lim bn 318 00 Then,(-1)+1bn n=1 61 n=1 O may converge or may diverge - more information is needed. O diverges by the Alternating Series Test. O converges to 61 O diverges by the Divergence Test. O converges by the Alternating Series Test.

Advanced Engineering Mathematics
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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Consider the alternating series (-1)+1b, where bn > 0 for all n ≥ 1. Suppose that (1) bn+1 < bn for all n. (2) lim bn n→∞ 00 = Then, (-1)+¹bn n=1 61 n=1 O may converge or may diverge - more information is needed. O diverges by the Alternating Series Test. O converges to 61 O diverges by the Divergence Test. O converges by the Alternating Series Test.
Transcribed Image Text:Consider the alternating series (-1)+1b, where bn > 0 for all n ≥ 1. Suppose that (1) bn+1 < bn for all n. (2) lim bn n→∞ 00 = Then, (-1)+¹bn n=1 61 n=1 O may converge or may diverge - more information is needed. O diverges by the Alternating Series Test. O converges to 61 O diverges by the Divergence Test. O converges by the Alternating Series Test.
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