Results 1 to 4 of 4

Math Help - Limit when x gos to 0

  1. #1
    Newbie
    Joined
    Sep 2008
    From
    Stockholm
    Posts
    15

    Limit when x gos to 0

    Hi!
    Can you help me with this problem?

    \lim_{x\ ->\ 0}\frac{\sin 2x \cot\frac{x}{3} \ln(1+4x)}{\arctan 5x}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member redsoxfan325's Avatar
    Joined
    Feb 2009
    From
    Swampscott, MA
    Posts
    943
    I can tell you (or rather Maple 12 can tell you) that the answer is \frac{24}{5}, but I have no idea how to analytically evaluate the limit. Sorry I can't be more help.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2008
    From
    Stockholm
    Posts
    15
    Ok,Thank you. Anyone els?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Apr 2009
    From
    Mxico
    Posts
    721
    Quote Originally Posted by Kluringen View Post
    Hi!
    Can you help me with this problem?

    \lim_{x\ ->\ 0}\frac{\sin 2x \cot\frac{x}{3} \ln(1+4x)}{\arctan 5x}
    \lim_{x\ \rightarrow  0}\frac{\sin 2x \cot\frac{x}{3} \ln(1+4x)}{\arctan 5x} = \lim_{x\ \rightarrow  0}\frac{\sin 2x  \ln(1+4x)}{\arctan 5x \tan\frac{x}{3}} Now try using L'Hopital's rule
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 12
    Last Post: August 26th 2010, 11:59 AM
  2. Replies: 1
    Last Post: August 8th 2010, 12:29 PM
  3. Replies: 1
    Last Post: February 5th 2010, 04:33 AM
  4. Replies: 16
    Last Post: November 15th 2009, 05:18 PM
  5. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 06:05 PM

Search Tags


/mathhelpforum @mathhelpforum