1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Can't think of 2 examples

  1. Mar 29, 2005 #1
    I"m trying to think of 2 functions that are discontinuous at point C, but when added togther, and multiplied togther, will be continuous at point c.

    I tried 1/x, root(x), a polynomail w/ x-1 in the denomiator....cant think of anything....any hints?

    I mean, when you multiply 2 functions to get a new function, can't you factor that function back to the original function, and it will be discontinuous again? :confused:
  2. jcsd
  3. Mar 29, 2005 #2
    Think quite a bit simpler. Hint: Try two functions that are "almost constant," ie. they are constant except at [itex]C[/itex] where they are both discontinuous.

    Don't forget that defining functions piecewise is perfectly allowable.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook