The following inequality is true for all $x$ close to $0$.

$$2-\dfrac{x^2}{3} < \dfrac{x \sin x}{1- \cos x} <2$$

What is the value of $\underset{x \to 0}{\lim} \dfrac{x \sin x}{1 – \cos x}$?

1. $0$
2. $1/2$
3. $1$
4. $2$