Chapter 4.2, Problem 1E

Show that

${\frac{d}{dx}\left(3^x\right)|}_{x=0}\approx 1.1$ by calculating the slope $\frac{3^h-1}{h}$ of the secant line passing through the points $\left(0,1\right)$ and $\left(h,3^h\right)$.

Take $h=.1$, $.01$, $.001$.