Answer:
[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]
Step-by-step explanation:
For this case we want to find the following limit:
[tex] lim_{x \to 1} x^2 -8x -2 [/tex]
And we can find the limit distirbuting into each term like this:
[tex] \lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2 [/tex]
And replacing we got:
[tex] 1^2 - 8*1 -2 = 1-8-2 = -9[/tex]
So then the final answer for this case is:
[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]