In this question, you will investigate whether the improper integral [ 21/12 converges or diverges. If it converges, you will find its value. dx a. Calculate the value of the integral [12/12 where b is a finite number whose value is greater than one. dx Value 1/b-1 b. Does the value of the integral approach a limit as b tends to infinity? If so, enter this lim 11/2 d dx = = 1

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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In this question, you will investigate whether the improper integral
[ 21/12
x²
converges or diverges. If it converges, you will find its value.
dx
a. Calculate the value of the integral
[²2/1/2
where b is a finite number whose value is greater than one.
dx
Value = 1/b-1
X
b. Does the value of the integral approach a limit as b tends to infinity? If so, enter this limiting value:
1
T
dx
x²
= 1
Transcribed Image Text:In this question, you will investigate whether the improper integral [ 21/12 x² converges or diverges. If it converges, you will find its value. dx a. Calculate the value of the integral [²2/1/2 where b is a finite number whose value is greater than one. dx Value = 1/b-1 X b. Does the value of the integral approach a limit as b tends to infinity? If so, enter this limiting value: 1 T dx x² = 1
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