Question

Find the limit if it exits.

Answer 1

C. 20

Explanation:

The given limit is

`\lim_(x \to 2) (3x^3 +x^2-8)`

This a limit of a polynomial function.

We plug in the limit directly to obtain;

`\lim_(x \to 2) (3x^3 +x^2-8)=3(2)^3+(2)^2-8`

We simplify to get;

`\lim_(x \to 2) (3x^3 +x^2-8)=3(8)+4-8`

`\lim_(x \to 2) (3x^3 +x^2-8)=24+4-8`

`\lim_(x \to 2) (3x^3 +x^2-8)=20`

The correct choice is C