# How do you find the limit of sinx / x as x approaches infinity?

Jun 27, 2016

0

#### Explanation:

${\lim}_{x \setminus \to \infty} \sin \frac{x}{x}$

we know that $\sin x \setminus \in \left[- 1 , 1\right] , q \quad \forall x$, ie it is a bounded function

so we can re-write the limit as

$\sin x \cdot \setminus {\lim}_{x \setminus \to \infty} \frac{1}{x} = \sin x \cdot 0 = 0$