homework help > math > calculus q&a board > topic: l' hospital rule...

Q BgQuestion:

      
Sage
Karma Points: 5,368
Respect (98%):
posted by  Edward E. on 8/2/2009 4:26:15 AM  |  status: Closed  |  Earned Karma: 5368

L' Hospital Rule

Course Textbook Chapter Problem Needs by
N/A N/A N/A N/A N/A
Question Details:
Evaluate the limit. Using L'Hospitals Rule
Tags: Calculus
Bonus Point Alert! Earn +8 additional karma points for helping this gold member.

AAnswers:

Answer Question Ask for clarification
Oracle
Karma Points: 11,394
posted by lawrence_tutor on 8/2/2009 4:40:21 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:
Lawrence Howe - Deadlines? Panicking? Need special assistance? Contact me for quick, professional help through the internet
Oracle
Karma Points: 55,815
(Evergreen Valley)
posted by hado on 8/2/2009 4:52:59 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
Evaluate the limit. Using L'Hospitals Rule
Let then

We have



Using L'Hospital's rule

 
(Since and )
    Since

Using L'Hospital's rule again



Then



ANSWER:

Verify the answer using the graph of f(x)

Sage
Karma Points: 4,470
posted by REIMAN on 8/2/2009 5:02:00 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:

 
   y =

  logy =  limx---->o+ log[tan(3x)x
         = limx---->o+ x log[tan(3x)

         =  limx---->o+ [ log(tan(3x))/(1/x)]

             = limx---->o+ [ ] 

           =   limx---->o+ [

    logy = 0 ==>  y = e0 = 1 
  

Tags: reiman
Oracle
Karma Points: 30,644
posted by Kingle on 8/2/2009 9:31:25 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:
  take the natural log of the limit



   we can apply L'Hopitals Rule

  

raise both sides to the e
Answer Question Ask for clarificarion
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links