Question

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

C.
3
a.
b.
1
0
d. does not exist

Answer 1

C) 3

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) (g)/(h)(x)`.

We will use limit rules to solve our given problem.

`\lim_(x \to a) (g)/(h)(x)=\lim_(x \to a) (g(x))/(h(x))= (\lim_(x \to a)g(x))/(\lim_(x \to a)h(x))`

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

`(\lim_(x \to a)g(x))/(\lim_(x \to a)h(x))=(0)/(-2)`

`(\lim_(x \to a)g(x))/(\lim_(x \to a)h(x))=0`

Therefore,
`\lim_(x \to a) (g)/(h)(x)` is 0 and option C is the correct choice.