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

Question

asked Sep 4, 2022 220k views

1 Answer

Charlietfl · Answer 1 · 2022-09-07T19:26:42+0000

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.