Question

Write the value of \[\lim_{x \to 0} \frac{\sin x^\circ}{x} .\]

Answer 1

\[\lim_{x \to 0} \left( \frac{\sin x°}{x} \right)\]
\[ = \lim_{x \to 0} \left( \frac{\sin \left( \frac{\pi x}{180} \right)}{\frac{\pi}{180}x} \right) \times \frac{\pi}{180}\]
\[ = 1 \times \frac{\pi}{180}\]
\[ = \frac{\pi}{180}\]