Question

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

Answer 1

${lim}_{x\to 0}\frac{sin{x}^{\circ }}{x}$
$={lim}_{x\to 0}\frac{sin\left(\frac{2\pi }{180}\right)}{x\left(\frac{\pi }{180}\right)}\times \frac{\pi }{180}$
${lim}_{x\to 0}\frac{sin{x}^{\circ }}{x}=\frac{\pi }{180}$