Results 1 to 2 of 2

Math Help - limit as x approaches 0 of xlog(x)

  1. #1
    Member
    Joined
    Jul 2011
    Posts
    196

    limit as x approaches 0 of xlog(x)

    \lim_{x \to 0}(xlogx)

    How do I go about rearranging xlogx in order to not have something undefined when I sub in x = 0? The only thing I can see to do is write it as:

    logx^x

    which is equally useless. I'm stuck on what to do with this one, any direction would be greatly appreciated.

    Is this the time to use L'Hospitals?

    Thanks.
    Last edited by terrorsquid; November 20th 2011 at 12:47 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7

    Re: limit as x approaches 0 of xlog(x)

    Quote Originally Posted by terrorsquid View Post
    \lim_{x \to 0}(xlogx)

    How do I go about rearranging xlogx in order to not have something undefined when I sub in x = 0? The only thing I can see to do is write it as:

    logx^x

    which is equally useless. I'm stuck on what to do with this one, any direction would be greatly appreciated.

    Is this the time to use L'Hospitals? Yes. Write it as \color{red}\lim_{x\to0}\frac{\log x}{1/x} and use l'H˘pital.

    Thanks.
    ..
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A limit as x approaches a.
    Posted in the Calculus Forum
    Replies: 14
    Last Post: February 11th 2011, 05:03 AM
  2. Limit as x approaches 0
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 15th 2010, 08:41 AM
  3. Limit of (a^x -1)/x when x approaches 0
    Posted in the Calculus Forum
    Replies: 5
    Last Post: March 23rd 2010, 09:43 PM
  4. when x approaches to -inf in limit
    Posted in the Calculus Forum
    Replies: 5
    Last Post: February 1st 2010, 08:01 AM
  5. limit as h approaches 0
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 13th 2008, 10:50 AM

Search Tags


/mathhelpforum @mathhelpforum