Results 1 to 1 of 1

Math Help - real analysis one sided limits

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    new orleans
    Posts
    5

    real analysis one sided limits

    hey guys. so im in an introductory real analysis course and I am finding it quite challenging, partially because my teacher isnt great. i went to ask for help on some limit problems but im not sure if his advice was accurate.

    1) Find lim(x approaches x0-) f(x) and lim((x approaches x0+) f(x) for f(x)=(x+abs(x))/x x0=0 i found the solutions (2, x>0 and 0, x<0) easily. The book asks for an epsilon-delta proof if possible and my teacher claims it is trivial because they are constant. if this is the case when should you finish the proof?


    2) I would also appreciate help with a second problem that asks the same thing except when f(x)= abs(x-1)/(x2 +x-2), x0=1

    3) prove: if limf(x) exists, there is a constant M and a p>0 such that abs(f(x)) < or = M if 0<abs(x-x0)<p. I was having trouble with this one also. in this case, basically p is delta right? and if we assume f(x)=M, then abs(M-L)=epsilon. should i approach this proof with a contradiction?

    thanks for all advice!
    Last edited by biga415; October 1st 2012 at 07:41 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Limits of Functions in Real Analysis
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: October 21st 2010, 09:02 PM
  2. real analysis limits
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 2nd 2009, 12:07 AM
  3. Real Analysis - Functional Limits #3
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 23rd 2008, 07:44 AM
  4. Real Analysis - Functional Limits #2
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 21st 2008, 06:49 PM
  5. Real Analysis - Functional Limits
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 21st 2008, 06:42 PM

Search Tags


/mathhelpforum @mathhelpforum