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Homework Help: Help with proving continuity

  1. May 11, 2010 #1
    1. The problem statement, all variables and given/known data

    using the epsilon delta definition of continuity prove that if f is continuous at c with F(c)/=0 then 1/f(x) is also continuous at c.

    2. Relevant equations

    i dont know how to begin using the definition. Im just really struggling with this. Just need a place to start.

    3. The attempt at a solution

    do you use the definition like 1/fx -1/fc <e when x-c< delta?
  2. jcsd
  3. May 11, 2010 #2


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    Homework Helper

    so what is the epsilon delta defintion of continuity?

    start with what you know about f and what you want to show about 1/f
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