A. converges B. diverges

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 20E
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Question
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. E
1
n=1
Compare with S
dn =
(Evaluate your integral with bottom limit c =
1.) This sum
A. converges
B. diverges
n+6
B. > n2+12n+4
n=1
Compare with S
dn =
(Evaluate your integral with bottom limit c =
)A. converges
1.) This sum
B. diverges
27
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 convergence of the sum. A. E 1 n=1 Compare with S dn = (Evaluate your integral with bottom limit c = 1.) This sum A. converges B. diverges n+6 B. > n2+12n+4 n=1 Compare with S dn = (Evaluate your integral with bottom limit c = )A. converges 1.) This sum B. diverges 27
Expert Solution
Step 1

Given that the series:

A. n=115n

B. n=1n+6n2+12n+4

To find check the series converges or diverges using integral test.

steps

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