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Math Help - Limit epsilon/delta proof

  1. #1
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    Limit epsilon/delta proof


    Show that the limit as (x,y) -> 0 doesn't exist.

    Attempt:

    To prove it, I must use the definition of limit (the epsilon and delta thing).

    Well, if the limit exists, and is 1, given any \epsilon >0 we can find a \delta >0 such that \sqrt{x^2 + y^2} < \delta if |f(x,y) -1| < \epsilon

    perhaps we can ty \epsilon = 1/2

    I'm not sure how to complete this proof to conclude that \lim_{(x,y) \to (0,0)} f(x,y) doesn't exist... some help with this is very much appreciated.
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  2. #2
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    Am I on the right track? ... I need some help finishing this proof.
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