Results 1 to 2 of 2

Math Help - Continuity and Differentiability

  1. #1
    Junior Member
    Joined
    Aug 2010
    Posts
    57

    Continuity and Differentiability

    f(x) = x +[x], x in Z, is f(x) continuous at x =0 ?

    How to interpret [x], the books says in the answer section that R.H limit is 0 and L.H limit is -1.

    Can anyone tell me how this was solved.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45
    Quote Originally Posted by kumaran5555 View Post
    f(x) = x +[x], x in Z, is f(x) continuous at x =0 ?
    Use:

    [x]=\begin{Bmatrix} -1 & \mbox{ if }& -1<x<0\\\;\;0 & \mbox{if}&\;\; 0\leq x <1\end{matrix}

    Fernando Revilla
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. differentiability and continuity
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: November 23rd 2010, 07:18 AM
  2. Differentiability and continuity
    Posted in the Calculus Forum
    Replies: 6
    Last Post: April 30th 2010, 04:26 AM
  3. Continuity and Differentiability
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 12th 2009, 10:37 AM
  4. continuity and differentiability
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 8th 2009, 04:26 AM
  5. Continuity and Differentiability
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 30th 2008, 12:12 AM

Search Tags


/mathhelpforum @mathhelpforum