Question

Find the limit of the function by using direct substitution lim (x^2+8x-2) x-> 2

Answer 1

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

And using the properties of limit we got:

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

And replacing we got:

`2^2 + 8 (2) -2 = 4 +16-2 =18`

Explanation:

For this case we want to find this limit:

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

And using the properties of limit we got:

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

And replacing we got:

`2^2 + 8 (2) -2 = 4 +16-2 =18`