Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Continuous Function Proof

  1. Mar 6, 2007 #1
    1. The problem statement, all variables and given/known data

    Prove that if f is continuous at a, then so is |f|

    2. Relevant equations

    3. The attempt at a solution
    I know
    lim f = L

    Not sure really where to go from here.
  2. jcsd
  3. Mar 6, 2007 #2
    to prove that f is continuous at a, you must prove that [tex]f(a)[/tex] is defined, that [tex]\lim_{x \to a} f(x)[/tex] exists and that [tex]\lim_{x \to a} f(x) = f(a)[/tex].
  4. Mar 6, 2007 #3
    Thanks I should be ok from here.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook