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Homework Help: Continuety of sum of functions

  1. Dec 29, 2008 #1
    A.does f(x) +g(x) continues in X0 when
    f(x) continues in X0 but g(x) doesnt?

    B.does f(x) +g(x) continues in X0 when both
    f(x) and g(x) are not continues in X0?

    prove and give exmple to support your answer

  2. jcsd
  3. Dec 29, 2008 #2


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    Gold Member

    If you're uncertain whether or not each function is continuous, try to constuct a counter example satisying the initial premises. After that, prove whatever result you obtained.
  4. Dec 29, 2008 #3
    For b) consider functions that have discont. but for example sum to be some constant.
    Last edited: Dec 29, 2008
  5. Dec 29, 2008 #4
    i dont know how to prove such things
  6. Dec 29, 2008 #5
    Are you sure you are supposed to prove them? b) is false using the example I gave so come up with a counterexample using the logic that I told you
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