Question

Why is the limit 4 and not "does not exist"?

Answer 1

Find the limit of the function algebraically.

limit as x approaches two of quantity x squared minus four divided by quantity x minus two.

Answer 2

\[\lim \frac{ x^2-4 }{ x-2}\]

Answer 3

\[\lim_{x\to 2}\frac{x^2-4}{x-2}\]

Answer 4

yes that's right

Answer 5

factor, cancel, plug in two for \(x\)

Answer 6

ohhh right i forgot to expand the top

Answer 7

let me see if i get it give me a sec

Answer 8

it is not "does not exist" because... it does exist
the top is already expanded, you need to factor it

Answer 9

I got 4 thank you for letting me know what I did wrong

Answer 10

yw