Consider the Type I improper integral 5e-dx. To determine whether the integral is divergent or convergent, do the following: [₁ 5e da. Note that your answer will be in terms of b. a) Find the value of L'o 5e dx = b) Now find the limit of your answer as b approaches infinity. If the limit exists enter the limit value. If the limit does not exist, enter DNE. Tim ["' Se b→∞ 5e dx = c) Which of the following is true? 1. The integral Sº Jo O The integral O The integral 5e-da is convergent. 5e dae is divergent. 5e dx is neither convergent nor divergent.
Consider the Type I improper integral 5e-dx. To determine whether the integral is divergent or convergent, do the following: [₁ 5e da. Note that your answer will be in terms of b. a) Find the value of L'o 5e dx = b) Now find the limit of your answer as b approaches infinity. If the limit exists enter the limit value. If the limit does not exist, enter DNE. Tim ["' Se b→∞ 5e dx = c) Which of the following is true? 1. The integral Sº Jo O The integral O The integral 5e-da is convergent. 5e dae is divergent. 5e dx is neither convergent nor divergent.
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Transcribed Image Text:Consider the Type I improper integral
To determine whether the integral is divergent or convergent, do the following:
a) Find the value of
b
[²5
5e-*dx
lim
b→∞
४
b) Now find the limit of your answer as b approaches infinity. If the limit exists enter the limit value. If the
limit does not exist, enter DNE.
b
S
5e-*dx
=
c) Which of the following is true?
The integral
.b
S
5e dx. Note that your answer will be in terms of b.
O The integral
0
1.
0
The integral
15.00€
• ∞
5e-dx.
·∞
5.0
5e dx is convergent.
-X
5e dx is divergent.
5e dx is neither convergent nor divergent.
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