i just lost my cool offical title and am now forced to look at my own inadequcy [ama]

come on guys what is this the solaris and jacquerel dating thread? hint: no

Correct, this is not the Solaris and Jacquerel dating thread. That's because every thread is the Solaris and Jacquerel dating thread.

As they say in mathematics, "Suppose that f and g are differentiable and g' has no zeroes on (a,b). Let

lim_x→b- f(x) = lim_x→b- g(x) = 0

or

lim_x→b- f(x) = ±∞ and lim_x→b- g(x) = ±∞.

and suppose that

lim_x→b- f'(x)/g'(x) = L (finite or ±∞).

Then

lim_x→b- f(x)/g(x) = L."