Calculate the limit without using de l'Hopital:
lim I want to use the limit:\lim_{x\to 0} \frac{\sin x}{x}=1 but I don't know how to do it.
I manipulated the expression to get \lim_{x\to 0} \frac{x}{x-\sin x}-\lim_{x\to 0} \frac{\sin x} {1-\cos x} but I don't know where to go from here.
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