Question

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

Answer 1

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