Figure

Find:

Solution

$F( x) =x^{2}$ is the product of two functions, $f(x)=x$ and $g(x)=x$ . Then, using the Limit of a Product, we have $\lim_{x\rightarrow 3}x^{2}=\lim_{x\rightarrow 3}x\cdot \lim_{x\rightarrow 3}x=(3)(3)=9$
$F(x)=-4x$ is the product of two functions, $f(x)=-4$ and $g(x)=x$ . Then, using the Limit of a Product, we have $\lim\limits_{x\rightarrow -5}(-4x)=\lim_{x\rightarrow -5}(-4)\cdot \lim\limits_{x\rightarrow -5}x=(-4)(-5)=20$