# Math Help - How did they get this answer?

1. ## How did they get this answer?

What is limx->pi/3 [tan(x)]?

Just so it's clear, x is approaching pi/3.

I really want to understand how they got this answer. Any help is appreciated.

2. This is a special value found using the tanget ratio and a special equilateral triangle.

$\displaystyle \lim_{x \to \frac{\pi}{3}}\tan x = \tan\frac{\pi}{3} = \sqrt{3}$

3. Originally Posted by iluvmathbutitshard
What is limx->pi/3 [tan(x)]?

$\displaystyle \tan\left(\frac{\pi}{3}\right) = \frac{\sin\left(\frac{\pi}{3}\right)}{\cos\left(\f rac{\pi}{3}\right)} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \sqrt{3}$