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Math Help - determining epsilons and deltas

  1. #1
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    determining epsilons and deltas

    How do you find appropriate values for epsilon and delta's to use in proofs of continuity. I know delta depends on epsilon.
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  2. #2
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    Re: determining epsilons and deltas

    Continuity states that for every \epsilon > 0, there exists a \delta > 0 such that |x - x_{0}| < \delta \implies |f(x) - f(x_{0})| < \epsilon. So we pick an arbitrary \epsilon. That is, we simply say: Let \epsilon > 0, then we solve for \delta.

    Does this answer your question?
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