# How do you find lim tantheta as theta->0?

Jan 9, 2017

I found zero.

#### Explanation:

I would try this:
${\lim}_{\theta \to 0} \left(\tan \left(\theta\right)\right) = {\lim}_{\theta \to 0} \left(\sin \frac{\theta}{\cos} \left(\theta\right)\right) =$
As $\theta \to 0$:
$\sin \left(\theta\right) \to 0$
$\cos \left(\theta\right) \to 1$
So you should get $\frac{0}{1} = 0$