>>8
Right, giving a solution that doesn't involve L'Hopital's Theorem (which he likely doesn't know as this is a limit problem that is commonly given near the beginning of a Calc 1 class) makes me slow.
>>9
Not for 0 <= x < pi/2. Example: sin(pi/4) = sqrt(2)/2 = 0.707..., pi/4 = 0.785..., tan(pi/4) = 1. In the other interval, -pi/2 < x <= 0, then you are correct as I said in my post. In short, you fail.