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.

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- Aug 30th 2009, 08:05 PMusmelikcheesFinding this limit using Algebra
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. - Aug 30th 2009, 08:34 PMpickslides

- Aug 30th 2009, 08:36 PMusmelikchees
- Aug 30th 2009, 09:22 PMeXist
Apply Hospital's rule and you get :

- Aug 30th 2009, 10:09 PMusmelikchees
- Aug 30th 2009, 10:14 PMeXist
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. - Aug 30th 2009, 10:28 PMusmelikchees
- Aug 30th 2009, 10:34 PMpickslides
L'hospital's rule is.

if

then

Can L'hospital's rule be used here? - Aug 31st 2009, 02:11 PMusmelikchees
- Aug 31st 2009, 02:58 PMDefunkt
- Aug 31st 2009, 02:58 PMCaptainBlack