Sunday, 25 March 2018

calculus - How to solve this limit question without using L'Hopital's rule?


Find the limit $$\lim_{x\rightarrow 0} \frac{\sin x-x}{\tan^3 x}$$




I found the limit which is $-\frac{1}{6}$ by using L'Hopital Rule. Is there another way to solve it without using the rule? Thanks in advance.

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