I need a solid demonstration of those two equalities(adsbygoogle = window.adsbygoogle || []).push({});

[tex]{_\lim{x}{\rightarrow} 0}\frac{\sin {x}}{x} = 1 [/tex]

[tex]{_\lim{x}{\rightarrow} 0}\frac{1-\cos {x}}{x} = 0 [/tex]

How to do so?

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# Simple problem

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