Results 1 to 2 of 2

Math Help - Very Simple Question on l'Hopital's Rule

  1. #1
    Member
    Joined
    Dec 2009
    Posts
    96

    Very Simple Question on l'Hopital's Rule

    So I am doing a limit for class

    Lim x-> 0 1-cosx / x^2

    I took the derivative which was sinx/2x

    Then took the derivative again to get cosx/2 = 1/2

    Do I wrote the answer as just 1/2 or do I write lim x->0 = 1/2?

    I am asking because my professor is very picky and would definitely mark points off if I do it wrong.

    I think I should write lim x -> 0 = 1/2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,110
    Thanks
    976
    Quote Originally Posted by KarlosK View Post
    So I am doing a limit for class

    Lim x-> 0 1-cosx / x^2

    I took the derivative which was sinx/2x

    Then took the derivative again to get cosx/2 = 1/2

    Do I wrote the answer as just 1/2 or do I write lim x->0 = 1/2?

    I am asking because my professor is very picky and would definitely mark points off if I do it wrong.

    I think I should write lim x -> 0 = 1/2
    don't get lazy when writing limits ...

    \lim_{x \to 0} \frac{1-\cos{x}}{x^2} =

    \lim_{x \to 0} \frac{\sin{x}}{2x} =

    \lim_{x \to 0} \frac{\cos{x}}{2} = \frac{1}{2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. L'Hopital's Rule question...
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 22nd 2010, 11:41 AM
  2. Replies: 5
    Last Post: December 19th 2009, 10:14 PM
  3. L'Hopital's Rule question
    Posted in the Calculus Forum
    Replies: 5
    Last Post: March 2nd 2009, 11:25 PM
  4. Need help with l'hopital rule question
    Posted in the Calculus Forum
    Replies: 5
    Last Post: August 18th 2008, 07:29 PM
  5. L'Hopital's rule question
    Posted in the Calculus Forum
    Replies: 29
    Last Post: July 8th 2007, 09:10 AM

Search Tags


/mathhelpforum @mathhelpforum