# Math Help - Student this limit

1. ## Student this limit

Student this limit :

2. $\lim_{x\to+\infty}\frac{sin x}{x}=0$

As $x\rightarrow+\infty$, sin x takes a finite value between 1 and -1. However, the denominator becomes infinitely large. So the limit is zero.

3. Originally Posted by alexmahone
$lim x\rightarrow +\infty \frac{sin x}{x}$
I'can understing any thing !!!!

4. Which part of the explanation and answer did you not understand?

Please be specific. Thank you!

5. Originally Posted by dhiab
I'can understing any thing !!!!
$\left| {\frac{{\sin (x)}}
{x} - 0} \right| = \left| {\frac{{\sin (x)}}
{x}} \right| \leqslant \left| {\frac{1}
{x}} \right| \to 0\text{ as }x \to \infty$