Question

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

Answer 1

${lim}_{x\to \infty }\frac{\sin x}{x}={lim}_{y\to 0}\frac{\sin \left(\frac{1}{y}\right)}{\left(\frac{1}{y}\right)}={lim}_{y\to 0}y\sin \left(\frac{1}{y}\right)=0\times \sin \left(\infty \right){lim}_{x\to \infty }\frac{\sin x}{x}=0$