1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Limit help

  1. Jan 18, 2006 #1
    Can someone point me in the right dirrection with this problem:

    find examples to show that if

    a) lim x->c [f(x)+g(x)] exists, this does not imply that either lim x->c [f(x)] or lim x->c [g(x)] exists.

    b) lim x->c [f(x)*g(x)] exists, this does not imply that either lim x->c [f(x)] or lim x->c [g(x)] exists.

    any help would be great
     
  2. jcsd
  3. Jan 18, 2006 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Think simply: if f(x)= 1/x, what is the limit as x-> 0? what is limit of g(x)= -1/x as x-> 0? What about f(x)+ g(x)?
     
  4. Jan 18, 2006 #3
    would that still work for part B of the problem?
     
  5. Jan 18, 2006 #4
    Not that example because there is no limit of f(x)*g(x). Use the two examples of x^2 and 1/x^2
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Limit help
  1. Help with Limits (Replies: 5)

  2. Help with limits (Replies: 4)

  3. Help with a limit (Replies: 3)

  4. Help with a limit. (Replies: 1)

  5. Limit help (Replies: 3)

Loading...