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Math Help - Real Analysis limit proof

  1. #1
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    Real Analysis limit proof

    Suppose f: D---> R, g:E--->R, x_0 is an accumulation pt of D intersect E and there is epsilon>0 such that D interesect [x_0 - epsilon, x_0 + epsilon]= E intersect [x_0 - epsilon, x_0 + epsilon]. If f(x0=g(x) for all x element of D intersect E intersect [x_0 - epsilon, x_0 + epsilon], prove that f has a limit at x_0 iff g has a limit at x_0.

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  2. #2
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    Quote Originally Posted by kathrynmath View Post
    Suppose f: D---> R, g:E--->R, x_0 is an accumulation pt of D intersect E and there is epsilon>0 such that D interesect [x_0 - epsilon, x_0 + epsilon]= E intersect [x_0 - epsilon, x_0 + epsilon]. If f(x0=g(x) for all x element of D intersect E intersect [x_0 - epsilon, x_0 + epsilon], prove that f has a limit at x_0 iff g has a limit at x_0.

    I'm clueless.....
    I'm just not quite sure what this problem is saying?
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