Question

Please help !!

Find the limit of the function by using direct substitution.
limit as x approaches three of quantity x squared plus eight x minus two.

0
-31
Does not exist
31

Answer 1

Given:

The limit problem is:

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

To find:

The limit of the function by using direct substitution.

Solution:

We have,

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

Applying limit, we get

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

`\lim_(x\to 3)(x^2+8x-2)=9+24-2`

`\lim_(x\to 3)(x^2+8x-2)=33-2`

`\lim_(x\to 3)(x^2+8x-2)=31`

Therefore, the correct option is D.