What is limx->pi/3 [tan(x)]?
Answer: sqrt(3)
Just so it's clear, x is approaching pi/3.
I really want to understand how they got this answer. Any help is appreciated.
from a unit circle value which you as a calculus student should already know ...
$\displaystyle \displaystyle \tan\left(\frac{\pi}{3}\right) = \frac{\sin\left(\frac{\pi}{3}\right)}{\cos\left(\f rac{\pi}{3}\right)} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \sqrt{3}$