Let $f(x)=2x^{2}+4x+2$ and $\displaystyle g(h)=\frac { f(4 +h)-f(4 ) }{ h }$.
Evaluate the following:

1.	$g(1)$	=
2.	$g(0.1)$	=
3.	$g(0.01)$	=
4.	$g(0.001)$	=

Notice that the values that you entered are getting closer and closer to a number we'll call $L$. Find $L$.

$L =$

This number is called the limit of $g(h)$ as $h$ approaches $0$. It is also called the derivative of $f(x)$ at the point when $x = 4$. We will see more of this when we get to the definition of derivative.