How to prove that $$\lim _{x\to 0}\frac{\sin x^{\circ} }{x }=\frac{\pi}{180}$$ We cant separate limits in nummerator and denominator as denominator limit is zero so how do we proceed ?
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2Use $\sin x^{\circ} =\sin(\pi x/180)$. – Paramanand Singh May 14 '17 at 08:31
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If you change the unit to arc degree, then it is equivalent to $$\lim_{x\rightarrow 0}\frac{\sin x}{x}=1.$$ Then there are lots of reference and questions regarded, such as How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
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