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Math Help - Find Delta

  1. #1
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    Find Delta

    Hi guys, I really need help.
    I'm stucking at this question, any suggestion? Can you explain how to solve it step by step?

    f(x)= 1/(x-1)
    Find the largest δ such that if 0 < |x 2| < δ then |f(x) 1| < 0.01
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  2. #2
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    Re: Find Delta

    Quote Originally Posted by dangbeau View Post
    Hi guys, I really need help.
    I'm stucking at this question, any suggestion? Can you explain how to solve it step by step?
    f(x)= 1/(x-1)
    Find the largest δ such that if 0 < |x 2| < δ then |f(x) 1| < 0.01
    This is not a tutorial service, therefore do not ask for a step-by-step solution.
    You can pay a tutor for that. This is free.

    Note that |f(x)-1|=\left|\frac{x-2}{x-1}\right|.


    If 0<\delta<1~\&~|x-2|<\delta then -\delta<x-2<\delta or 1-\delta<x-1<\delta+1 or \left|\frac{x-2}{x-1}\right|=\frac{|x-2|}{|x-1|}< \frac{\delta}{1-\delta}
    Last edited by Plato; February 13th 2013 at 04:53 AM.
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  3. #3
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    Re: Find Delta

    Yay I got it now
    you are my lifesaver, thank you so muchhhh
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