Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrand and the value of the integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum. A. Σ. Η n=1 Compare with f (Evaluate your integral with bottom limit c = A. converges OB. diverges dn = 1.) This sum n+3 Β. Σ n²+6n+1 n=1 Compare with f dn = (Evaluate your integral with bottom limit c = 1.) This sum O A. converges B. diverges 9
Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrand and the value of the integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum. A. Σ. Η n=1 Compare with f (Evaluate your integral with bottom limit c = A. converges OB. diverges dn = 1.) This sum n+3 Β. Σ n²+6n+1 n=1 Compare with f dn = (Evaluate your integral with bottom limit c = 1.) This sum O A. converges B. diverges 9
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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Please give the correct solution, and solve it neatly.
Transcribed Image Text:16.
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Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrand and the value of the
integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum.
∞
1
A. Σ 8n
n=1
Compare with f
(Evaluate your integral with bottom limit c = 1.) This sum
● A. converges
O B. diverges
∞
Β. Σ
n=1
Compare with f
(Evaluate your integral with bottom limit c = 1.) This sum
A. converges
n+3
n²+6n+1
● B. diverges
dn =
=
→
dn =
=
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