Results 1 to 2 of 2

Math Help - Discontinuity

  1. #1
    Member
    Joined
    May 2009
    Posts
    86

    Discontinuity

    Define f: R^n \ (0,0,...0) -> R by f(x)=e^(-1/||x||^2) . Explain why the origin is a point of discontinuity. Can the discontinuity be removable? If so, determine
    lim(x->0) f(x). If not explain why the limit does not exist.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by poorna View Post
    Define f: R^n \ (0,0,...0) -> R by f(x)=e^(-1/||x||^2) . Explain why the origin is a point of discontinuity.

    Because the function isn't defined there


    Can the discontinuity be removable? If so, determine
    lim(x->0) f(x).


    \lim\limits_{x\to 0}e^{-1/||x||^2}=0

    Tonio



    If not explain why the limit does not exist.
    .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. I need help-discontinuity
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 21st 2010, 06:56 PM
  2. what type of discontinuity?
    Posted in the Calculus Forum
    Replies: 9
    Last Post: January 28th 2010, 05:21 AM
  3. Discontinuity...again
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: May 31st 2009, 03:28 AM
  4. Replies: 2
    Last Post: November 27th 2008, 05:44 PM
  5. Discontinuity
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 9th 2007, 07:47 AM

Search Tags


/mathhelpforum @mathhelpforum