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. ΣΗ n=1 Compare with * dn = (Evaluate your integral with bottom limit c = 1.) This sum O A. converges O B. diverges

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.3: Arithmetic Sequences And Series
Problem 28E
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. ΣΗ
n=1
Compare with *
dn
(Evaluate your integral with bottom limit e = 1.) This sum
O A.
converges
O B. diverges
B. Σ
n+5
n2+10n+6
n=1
Compare with f
dn :
(Evaluate your integral with bottom limit e = 1.) This sum
O A. converges
O B. diverges
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. ΣΗ n=1 Compare with * dn (Evaluate your integral with bottom limit e = 1.) This sum O A. converges O B. diverges B. Σ n+5 n2+10n+6 n=1 Compare with f dn : (Evaluate your integral with bottom limit e = 1.) This sum O A. converges O B. diverges
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