calculus - How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? - Mathematic
Here you may see an elementary approach that starts from a very interesting result, see this problem. All you need is a bit of imagination. When we take $\lim_{n\rightarrow\infty} \frac{n\sin(\frac{\pi}{n})}{1+\sin(\fra...