# Math Help - Identity elusive

1. ## Identity elusive

Hello

asked why $sin (mx)\approx{mx}$

A greeting and thanks

2. Originally Posted by Dogod11
Hello

asked why $sin (mx)\approx{mx}$

A greeting and thanks
For small values of $x$.

What is $\lim_{x\to0}\frac{\sin(mx)}{mx}$?

3. Originally Posted by Dogod11
Hello

asked why $sin (mx)\approx{mx}$

A greeting and thanks
when x is close to 0, $\sin(mx) \approx mx$ because $\lim_{x \to 0} \frac{\sin(mx)}{mx} = 1$

4. Originally Posted by Dogod11
Hello

asked why $sin (mx)\approx{mx}$

A greeting and thanks

This is true for very small x.

5. Hi,

Thank you very much