How to find
$$\lim_{x\to 0}\frac{\sin x}{x} $$
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Do you know L'Hôpital's rule? See http://en.wikipedia.org/wiki/L%27H%C3%B4pital%27s_rule – user79202 May 24 '13 at 06:56
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1How do you define $\sin x$? – Potato May 24 '13 at 06:59
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@user79202: If user79249 knows the general formula for the derivative of $\sin$, hopefully they can also recognize $\sin'(0)$ here. – Jonas Meyer May 24 '13 at 07:07
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The proof that this limit is $1$ can be found in most calculus textbooks. It’s also available online, e.g., here and here.
Brian M. Scott
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