[SOLVED] Find the Limit

**vinson24** · February 17th 2010, 11:01 AM

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

**running-gag** · February 17th 2010, 11:32 AM

Originally Posted by vinson24

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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