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!

Discontinuous functions

  1. Oct 17, 2006 #1
    can you give me an example of two discontinuous functions at a number a whose sum is not discontinuous at a? :confused: thanks!!!:shy:
     
  2. jcsd
  3. Oct 17, 2006 #2
    i was just about to ask a question about dis. functions, and express each function as a composition, and i dont know how to do that??

    if you give me a prob, i might help to see what you mean.
     
  4. Oct 17, 2006 #3
    huh?

    If the functions are discontinuous at a, then their sums are not going to be continuous at a. I suppose you could have two step functions, one going up and one going down, but I don't think that is really fair because there is still a discontinunity at a.... Mathematicians?
     
  5. Oct 18, 2006 #4

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Let f(x)=0 when x is not zero, and 1 when x is zero.
    Let g(x)=0 when x is not zero, and -1 when x is zero.

    then f+g is continuous everywhere.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Discontinuous functions
Loading...