calculus - Evaluating $lim_{xto 0} frac{tan x - sin x}{x^3} $. I get $0$, but book says $1/2$

$$\lim_{x\to\ 0} \frac{\tan x - \sin x}{x^3} $$

I am getting $0$. I even tried to plug in small values for $x$ and got the same answer. But the book's answer is $1/2$.

I don't understand. Am I doing something wrong? Please help ��