Limit of sin x / x as x approaches 0

lim $\frac{sin\theta }{\theta }$ = 1 $\theta$ -> 0

The way I think about it as that we are never hitting zero, a limit is something we are approaching but not hitting, and if we plug in 0.0001 and -0.0001 we get values that are close to hence and that’s why when the limit approaches 0 the answer is 1

$1\ge \frac{sin\theta }{\theta }\ge cos\theta$, for $\frac{-\pi }{2}$ < $\theta$ $\frac{\pi }{2}$