# Thread: [SOLVED] Find the Limit

1. ## [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

2. 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 ?