Question

If lim f(x) = 5, lim g(x) = 0, and lim h(x) = -2, then find lim g/h (x)

Answer 1

Answer:

C) 3

Step-by-step explanation:

JUST ANSWER IT

Answer 2

We have been given that $\lim_{x \to a} f(x)=5$, $\lim_{x \to a} g(x)=0$ and $\lim_{x \to a} h(x)=-2$. We are asked to find the $\lim_{x \to a} \frac{g}{h}(x)$.

We will use limit rules to solve our given problem.

$\lim_{x \to a} \frac{g}{h}(x)=\lim_{x \to a} \frac{g(x)}{h(x)}= \frac{\lim_{x \to a}g(x)}{\lim_{x \to a}h(x)}$

Upon substituting our given values in above formula, we will get:

$\frac{\lim_{x \to a}g(x)}{\lim_{x \to a}h(x)}=\frac{0}{-2}$

$\frac{\lim_{x \to a}g(x)}{\lim_{x \to a}h(x)}=0$

Therefore,  $\lim_{x \to a} \frac{g}{h}(x)$ is 0 and option C is the correct choice.