Lim .... .... x-2
x->-2 ....x^2-4
I got 4 using algebra, but I did the thing where you put -1.999 instead of -2 into the function and got 1/2, and I tried an online limit calculator and got infinity...im so confused.
When you apply Hospital's rule you take the derivative of the top over the derivative of the bottom.
That notation: just means that I'm taking the derivative of those two as if they were their own monomial, and ignoring the fact that one is actually in the denominator. Just a notation I use.