Use L'hopital's rule if needed. 1:39< Back 10-L Hopital_s Rule.pdf==Dashboard=exlimx0+ e +ex + xex11+1+012Example 10: Evaluate lim cos(x) sec(3x)x → 5Example 11: Evaluate lim11(---)x 1+ x 1Calendarx455To DoQDNotificationsĴ5Inbox 1:39< Back 10-L_Hopital_s Rule.pdf24x 2 x 2Example 4: Evaluate limsin(4x)Example 5: Evaluate limx-0 sin(6x)x² - 3Example 6: Evaluate limx-x 2x³Example 7: Evaluate limX-Tcos(x) - 1DashboardX-xExample 8: Evaluate lim x²ex→∞lim 12x³x48∞Calendar23Product/Difference Indeterminate FormsFor limits that lead to the indeterminate forms of ±∞.0 or ∞-∞, we can use algebra to rewrite theexpression we are taking the limit of in order to get it into a form where L'Hôpital's Rule is appropriate.5DTo Do✩Notifications5Inbox

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Answered: 24 2 Example 4: Evaluate lim x 2 x

Math

Calculus

24 2 Example 4: Evaluate lim x 2 x

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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Question

Use L'hopital's rule if needed.

1:39
< Back 10-L Hopital_s Rule.pdf
=
=
Dashboard
=
ex
lim
x0+ e +ex + xex
1
1+1+0
1
2
Example 10: Evaluate lim cos(x) sec(3x)
x → 5
Example 11: Evaluate lim
1
1
(---)
x 1+ x 1
Calendar
x
4
5
5
To Do
Q
D
Notifications
Ĵ
5
Inbox

1:39
< Back 10-L_Hopital_s Rule.pdf
24
x 2 x 2
Example 4: Evaluate lim
sin(4x)
Example 5: Evaluate lim
x-0 sin(6x)
x² - 3
Example 6: Evaluate lim
x-x 2x³
Example 7: Evaluate lim
X-T
cos(x) - 1
Dashboard
X
-x
Example 8: Evaluate lim x²e
x→∞
lim 12x³
x48
∞
Calendar
2
3
Product/Difference Indeterminate Forms
For limits that lead to the indeterminate forms of ±∞.0 or ∞-∞, we can use algebra to rewrite the
expression we are taking the limit of in order to get it into a form where L'Hôpital's Rule is appropriate.
5
D
To Do
✩
Notifications
5
Inbox

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