Test the series for convergence or divergence. Part 1: Divergence Test Identify the corresponding positive terms: b₁ = Evaluate the limit: lim b₁ = 12-400 Since lim b, is Select n-00 Part 2: Alternating Series Test Test for Convergence Compute the derivative: Since bn Select d dn Absolute vs. Conditional d dn bn , the Divergence Test tells us Select Since the corresponding positive series 87 the sequence Select 7e Select V by the Select 7(-e)". . So the Alternating Series Test tells us Select ], the alternating series 7(-e)-" converges Select 7-1

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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q7

Test the series for convergence or divergence.
Part 1: Divergence Test
Identify the corresponding positive terms: bn =
Evaluate the limit: lim b₁ =
12-400
Since lim b, is Select
n-00
Part 2: Alternating Series Test
Test for Convergence
Compute the derivative:
ત
Since bn Select
dn
Absolute vs. Conditional
Since the corresponding positive series
d
dn
9.
, the Divergence Test tells us Select
the sequence Select
7e Select
by the Select
7(-e)
. So the Alternating Series Test tells us Select
✓, the alternating series 7(-e) converges Select
n-1
Transcribed Image Text:Test the series for convergence or divergence. Part 1: Divergence Test Identify the corresponding positive terms: bn = Evaluate the limit: lim b₁ = 12-400 Since lim b, is Select n-00 Part 2: Alternating Series Test Test for Convergence Compute the derivative: ત Since bn Select dn Absolute vs. Conditional Since the corresponding positive series d dn 9. , the Divergence Test tells us Select the sequence Select 7e Select by the Select 7(-e) . So the Alternating Series Test tells us Select ✓, the alternating series 7(-e) converges Select n-1
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