Use the Integral Test to determine whether the infinite series is convergent. Σ 2 3 n n=1 Fill in the corresponding integrand and the value of the improper integral. Enter inf for o, -inf for -, and DNE if the limit does not exist. Compare with f dæ = By the Integral Test, the infinite seriesn 2 3 n=1 A. converges B. diverges

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
8.1 8.2 8.3: Problem 14
Use the Integral Test to determine whether the infinite series is
convergent.
3
n=1
Fill in the corresponding integrand and the value of the
improper integral.
Enter inf for ∞, -inf for -x∞, and DNE if the limit does not
exist.
Compare with S*
dx
By the Integral Test,
2.
the infinite series >
n
3
n=1
A. converges
B. diverges
Transcribed Image Text:8.1 8.2 8.3: Problem 14 Use the Integral Test to determine whether the infinite series is convergent. 3 n=1 Fill in the corresponding integrand and the value of the improper integral. Enter inf for ∞, -inf for -x∞, and DNE if the limit does not exist. Compare with S* dx By the Integral Test, 2. the infinite series > n 3 n=1 A. converges B. diverges
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