Question

Find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)

Answer 1

`lim_(x \to 1) x^2 -8x -2 =-9`

Explanation:

For this case we want to find the following limit:

`lim_(x \to 1) x^2 -8x -2`

And we can find the limit distirbuting into each term like this:

`\lim_(x \to 1) x^2 -8 lim_(x \to 1) x -lim_(x \to 1) 2`

And replacing we got:

`1^2 - 8*1 -2 = 1-8-2 = -9`

So then the final answer for this case is:

`lim_(x \to 1) x^2 -8x -2 =-9`