Answer
243
Work Step by Step
see: Rules for Limits
Let $a, A$, and $B$ be real numbers,
and let $f$ and $g$ be functions such that
$\displaystyle \lim_{x\rightarrow a}f(x)=A$ and $\displaystyle \lim_{x\rightarrow a}g(x)=B$.
3. $\displaystyle \lim_{x\rightarrow a}[f(x)\cdot g(x)]=[\lim_{x\rightarrow a}f(x)]\cdot[\lim_{x\rightarrow a}g(x)]=A\cdot B$
(The limit of a product is the product of the limits.)
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$\displaystyle \lim_{x\rightarrow 4}[(g(x)\cdot f(x)]=[\lim_{x\rightarrow 4}g(x)]\cdot[\lim_{x\rightarrow 4}f(x)]$
$=27\cdot 9=243$
