Question

e $limlimits_{\theta\to0}\frac{1 - cos\theta}{sin\theta}$.

Explanation:

Step1: Use L'Hopital's Rule

Differentiate numerator and denominator.

$$\lim_{\theta ightarrow0}\frac{1 - \cos\theta}{\sin\theta}=\lim_{\theta ightarrow0}\frac{\sin\theta}{\cos\theta}$$

Step2: Substitute $\theta = 0$

Substitute $\theta = 0$ into the new expression.
$$\frac{\sin0}{\cos0}=\frac{0}{1}$$

Answer:

$0$