limits

[schefflw]

what is the limit of x as its approaches 2?

x^2 - x -2 / x - 2

 

[Deleted member 4993]

what is the limit of x as its approaches 2?

x^2 - x -2 / x - 2

The expression in your post translates to:

\(\displaystyle x^2 \ - \ x \ - \ \frac{2}{x} \ - \ 2\)

However if you wanted to write:

\(\displaystyle \frac{x^2 \ - \ x \ - \ 2}{x \ - \ 2}\)

you should have written

(x^2 - x -2 )/ (x - 2) ... watch the use of parenthesis (PEMDAS) as grouping symbol

Now edit your post as necessary.

 

[vouslavous]

what is the limit of x as its approaches 2?

x^2 - x -2 / x - 2

use l'hospital rule and simply take dx of the num and dem of the function until you can plug in 2 such that the function is continuous

 

[renegade05]

what is the limit of x as its approaches 2?

x^2 - x -2 / x - 2

use l'hospital rule and simply take dx of the num and dem of the function until you can plug in 2 such that the function is continuous

I'm sure schefflw is in intro calc and is expected to factor and what not.

\(\displaystyle \lim_{x \to 2}\frac{x^2 \ - \ x \ - \ 2}{x \ - \ 2}\)

\(\displaystyle =\lim_{x \to 2}\frac{(x-2)(x+1)}{(x-2)}\)

etc.....