Limits. Not so fun when it comes to amount of ice cream you can eat. Much more fun when it comes to math. Well, sort of.
Here are a couple of limits to evaluate. One is somewhat tricky because it involves thinking about trig functions and a logarithm of that trig function - the effect is that you have to bounce between unit-circle style thinking on the one hand, and logarithmic thinking on the other. The other is more straightforward and algebraic, but you still have to watch out for a common pitfall.
