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[tex]

\lim_{x\rightarrow 0} \frac{-x(1 -\cos x)}{\sin x - x}

[/tex]

I solved this limit using L'Hopital and expanding trigonometric functions to series.

But i have to solve it using algebraic tools (without series). I don't know how to do it. [tex]\sin x - x[/tex] looks difficult to deal with.

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# Homework Help: Solving limit with algebraic tools

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