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Math Help - Precise Limit

  1. #1
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    Precise Limit

    (Precise Definition of Limit) For a function f defined in some open interval containing a (but not necessarily at a itself), we say
    lim as x approaches a f(x)=L,
    if given any number epsilion > ) there is another number delta > 0 , such that 0 < |x - a| < delta guarantees that
    |f(x)-L|<epsilion

    1. Symbolically find delta in terms of epsilion to prove the following limit is correct. (Use the above mentioned definition).

    lim as x approches 3 (2x-5=1)
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  2. #2
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    You need to prove that if 0 < |x-3| < epsilon/2 then |(2x-5) - 1| < epsilon.
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