Question

Write the value of $$\underset{x\to 0}{lim}\frac{\sin x^{\circ }}{x}.$$

Answer 1

$$\underset{x\to 0}{lim}\left(\frac{\sin x°}{x}\right)$$
$$=\underset{x\to 0}{lim}\left(\frac{\sin \left(\frac{\pi x}{180}\right)}{\frac{\pi }{180}x}\right)\times \frac{\pi }{180}$$
$$=1\times \frac{\pi }{180}$$
$$=\frac{\pi }{180}$$