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Math Help - Precise definition of a limit.

  1. #1
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    Smile Precise definition of a limit.

    Use the given graph of f to find a number δ that fulfills the following condition.




    δ = ?

    I am stuck in this problem and appreciate it if someone shows me the steps involved please.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Note on the graph |f(x) -3| < eps if 4 = 5 - 1 < x < 5 + .7 = 5.7


    so certainly if x is within .7 of 5 |f(x) -3| < eps

    therfore delta = .7
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  3. #3
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    Wow your method is much simpler than the book and it is straight to the point many thanks.
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