Use the Integral Test to determine whether the infinite series is convergent. 1 n + 81 n=9 Fill in the corresponding integrand and the value of the improper integral. Enter inf for oo, -inf for -0o, and DNE if the limit does not exist. Compare with J dx = By the Integral Test, the infinite series > n + 81 n=9 A. converges B. diverges

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Use the Integral Test to determine whether the infinite series is convergent.
1
n + 81
n=9
Fill in the corresponding integrand and the value of the improper integral.
Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist.
Compare with
dx =
By the Integral Test,
1
the infinite series
n + 81
n=9
A. converges
B. diverges
24
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. 1 n + 81 n=9 Fill in the corresponding integrand and the value of the improper integral. Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. Compare with dx = By the Integral Test, 1 the infinite series n + 81 n=9 A. converges B. diverges 24
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