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$lim_{x \rightarrow 3} {x^2 - 1 \over x + 3}$ 

\vfill

$lim_{x \rightarrow 3} {x^2 - 1 \over x - 3}$ 

\vfill

$lim_{x \rightarrow 3} {(x^2 - 1)(x - 3)\over x - 3}$ 

\vfill


$lim_{x \rightarrow 3} { x - 3 \over x^2 - 1 }$ 

\vfill


$lim_{x \rightarrow 3} {(x-4)^2 \over x^5(x-8)^9(x - 3)^3}$ 

\vfill


$lim_{x \rightarrow 3} {(x-4)^2(x - 3) \over x^5(x-8)^9(x - 3)^3}$ 



\eject

Suppose $f(x) = \sqrt{x}$.  Find $lim_{h \rightarrow 0} {f(x + h) - f(x) \over h}$ where $x > 0$




\end