The function h is defined by h(x) = x^3-7/ x-3. Which of the following statements must be true?

Question

The function h is defined by h(x) = x^3-7/ x-3. Which of the following statements must be true?

1) Lim x--> 3(from the left) of h(x) = -∞ and lim x--> 3(from the right) of h(x) = -∞

2) Lim x -->3(from the left) of h(x) = ∞ and lim x-->3(from the right) of h(x) = -∞

3) Lim x -->3(from the left) of h(x) = -∞ and lim x-->3(from the right) of h(x) = ∞

4) Lim x--> 3(from the left) of h(x) = ∞ and lim x-->3(from the right) of h(x) =∞

I hope you guys can understand this.

Answer 1

I will let you figure this out from the following information:

The numerator is positive near 3.

As x approaches 3 from the left the denominator is negative

and as x approaches 3 from the right the denominator is positive.