Consider the following series. n In(n) n = 2 Does the function f(x) satisfy the conditions of the Integral Test? x In(x) Yes No Evaluate the following integral. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) dx x In(x) Since the integral is not finite, the series is divergent

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...
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Consider the following series.
Σ
1.
n In(n)
1
Does the function f(x) =
satisfy the conditions of the Integral Test?
x In(x)
Yes
No
Evaluate the following integral. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)
dx
x In(x)
J2
Since the integral is not
finite, the series is divergent
Transcribed Image Text:Consider the following series. Σ 1. n In(n) 1 Does the function f(x) = satisfy the conditions of the Integral Test? x In(x) Yes No Evaluate the following integral. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) dx x In(x) J2 Since the integral is not finite, the series is divergent
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