Tuesday, 23 August 2016

calculus - Find the limit of $(2sin x-sin 2x)/(x-sin x)$ as $xto 0$ without L'Hôpital's rule

I wonder how to do this in different way from L'Hôpital's rule:




$$\lim_{x\to 0}\frac{2\sin x-\sin 2x}{x-\sin x}.$$



Please help me solve this without using L'Hopital's rule.

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