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l'Hospital's Rule

(it would be too painful to type this out here so just clicky the linky)

This was one of the fun ones I had back in college since it can let you solve limits in indeterminate forms such as 0/0.

-edit-

Actually, shouldn't be too hard to type since we can do symbols.

If you have a limit

lim f(x)/g(x)

where both f(x) and g(x) equal 0 or +/- ∞ then if f'(x) and g'(x) are both of a determinate form you can have the following

lim f'(x)/g'(x) = lim f(x)/g(x)

So that way you can solve some indeterminate limits.  And there are still more troubles you have to deal with after that but it's still a pretty neat little rule.