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. + n=1 Compare with f dn = (Evaluate your integral with bottom limit c = 1.) This sum O A. converges OB. diverges n+5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 30E
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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
of the sum.
convergence
∞
A. Σ 9n
n=1
Compare with fo
(Evaluate your integral with bottom limit c = 1.) This sum
A. converges
O B. diverges
B.
n+5
n²+10n+5
dn
=
n=1
Compare with fo
(Evaluate your integral with bottom limit c = 1.) This sum
O A. converges
O B. diverges
dn =
=
I-
-
Transcribed Image Text: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 of the sum. convergence ∞ A. Σ 9n n=1 Compare with fo (Evaluate your integral with bottom limit c = 1.) This sum A. converges O B. diverges B. n+5 n²+10n+5 dn = n=1 Compare with fo (Evaluate your integral with bottom limit c = 1.) This sum O A. converges O B. diverges dn = = I- -
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