Question

Find the limit if it exists. Picture provided

Answer 1

b. -1

Explanation:

When evaluating a limit at a specific value like this, just plug in the number and evaluate.

(2)³ - 3(2)² + 3

8 - 12 + 3

-4 + 3

-1

Answer 2

b.
`-1`

Explanation:

The given limit is

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

This is the limit of a polynomial function so we plug in the value of x directly to obtain;

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

Evaluate

`\lim_(x \to 2) x^3-3x^2+3=8-12+3`

This simplifies to

`\lim_(x \to 2) x^3-3x^2+3=-1`

The correct choice is B.