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Show that f is continuous at every point in R

  1. Sep 28, 2011 #1
    Suppose a function f : R → R satisfy f(x + y) = f(x) + f(y) and f is continuous
    at x = 0: Show that f is continuous at every point in R.

    (Hint: Using the fact that
    lim f(x) = l implies
    x→x0
    limf(x0+h)= l
    h→0 )
     
  2. jcsd
  3. Sep 28, 2011 #2

    LCKurtz

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    You need to show us what you have tried so we can see how to help you.
     
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