Question

Can someone please help me?!

lim ((x^2-4)/(x-2))
x->9

Answer 1

factor top and bottom, cancel out if you see anything to cancel out, and then plug in 9 for x.

Answer 2

(x-2)/(x-2)

Answer 3

\(\LARGE\color{blue}{ \bf \lim_{x \rightarrow 9}~\frac{x^{2}-4 }{x-2} }\)

\(\LARGE\color{blue}{ \bf \lim_{x \rightarrow 9}~\frac{(x-2)(x+2) }{x-2} }\)

Answer 4

Can you now cancel out x-2 ?

Answer 5

Then plug in 9 for x .

Answer 6

actually no need first canceling out in THIS CASE, but I am just following general approach.

Answer 7

Yes, you can cancel out x-2, which leaves you with x+2, which becomes 11

Answer 8

And that's the limit you're looking for @TheHero