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Math Help - [SOLVED] Find the Limit

  1. #1
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    [SOLVED] Find the Limit

    Find the limit by interpreting the expression as an appropriate derivative

    \lim_{\Delta x\to 0} \frac{(2+\Delta x)^{2+ \Delta x}-4} {\Delta x}

    Not to sure what to do here
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  2. #2
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    Quote Originally Posted by vinson24 View Post
    Find the limit by interpreting the expression as an appropriate derivative

    \lim_{\Delta x\to 0} \frac{(2+\Delta x)^{2+ \Delta x}-4} {\Delta x}

    Not to sure what to do here
    Hi

    Let f(x) = x^x

    then \frac{(2+\Delta x)^{2+ \Delta x}-4} {\Delta x} = \frac{f(2+\Delta x)-f(2)} {\Delta x}

    Can you get it from here ?
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