Question

Does lim_{x rightarrow 2} ((3x^2-12)/(x-2)) have a limit?

Answer 1

Factor the top and then see if you have any common factors on top and bottom :)

Answer 2

Doesn't look like it. Just started limits today. There appears to be a hole at 2 in the function. It's just that I can't remember if there is still a limit when there is a hole.

Answer 3

\[3x^2-12=3(x^2-4)=3(x-2)(x+2)\]

Answer 4

Remember limits we are looking at what happens as we approach a number not what happens at a number k?

Answer 5

ok, thank you