Results 1 to 2 of 2

Math Help - prove by limit definition

  1. #1
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401

    prove by limit definition

    f ,g are defined around x0 for which lim fg(x)=infinity when x->x0 .

    prove that if k>0 so f>g>0 for every x on |x-x0|<k then

    lim f(x)=infinity when x->x0 .


    i tried:
    for every n>0
    every x in |x-x0|<k
    makes fg>N
    what now?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,971
    Thanks
    1121
    If g goes to infinity and f> g, then f goes to infinity. If neither f nor g goes to infinity, then fg does not.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. prove limit by definition
    Posted in the Calculus Forum
    Replies: 6
    Last Post: August 9th 2011, 06:57 PM
  2. [SOLVED] prove limit by definition
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: November 5th 2010, 05:33 AM
  3. Replies: 1
    Last Post: February 5th 2010, 03:33 AM
  4. Replies: 1
    Last Post: April 27th 2009, 06:02 AM
  5. Replies: 15
    Last Post: November 4th 2007, 07:21 PM

Search Tags


/mathhelpforum @mathhelpforum