Ok, thanks for all of the help. But unfortunately, I am just getting more and more confused. I have not learned the derivative yet, which I realize must make this more difficult. Is there a way to get

$\displaystyle

L=\lim_{x \to 2} \frac {cos \frac{\pi} {x}} {x-2}

$

into the form

$\displaystyle

L=\lim_{x \to o} \frac {cos (x - 1)} {x} = 0

$

without using anything other than basic (precaluculus level) math? Like I said, I am at the very beginning of the course and don't know the definition of the derivative or l'Hôpital's rule. We're talking "calculus for dummies" level here -- apparently I have lost a few brain cells since the last math course I took

.