Answer
The graphs seem to coincide, illustrating that
$\displaystyle \frac{d}{dx}[e^{x}]=e^{x}$
Work Step by Step
On the same coordinate system, graph
$f(x)=e^{x}$
and
$y=\displaystyle \frac{f(x+h)-f(x)}{h}=\frac{e^{x+00001}-e^{x}}{0.0001}$
The two graphs seem to coincide.
$h=0.0001$ is close to 0, so the graphs illustrate that for $f(x)=e^{x},$
$\displaystyle \lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}=f(x)$
that is,
$\displaystyle \frac{d}{dx}[e^{x}]=e^{x}$
