Answer:
B
Step-by-step explanation:
The limit of quotient of two functions is the quotient of their limits, provided that the limit in the denominator function is not zero:
[tex]\lim_{x\to x_0}\dfrac{g(x)}{h(x)}=\dfrac{ \lim_{x \to x_0} g(x) }{ \lim_{x \to x_0} h(x) }, \text{ where }\lim_{x \to x_0} h(x)\neq 0.[/tex]
In your case,
[tex]\lim_{x \to 4} h(x)=-2\neq 0,[/tex]
then
[tex]\lim_{x\to 4}\dfrac{g(x)}{h(x)}=\dfrac{ \lim_{x \to 4} g(x) }{ \lim_{x \to 4} h(x) } =\dfrac{0}{-2}=0.[/tex]
