If we are asked to prove the following: [tex] \lim_{x\rightarrow 0} \frac{x^{2}\sin\frac{1}{x}}{\sin x} = 0 [/tex] would I do: [tex] \lim_{x\rightarrow 0} x^{2}(\sin\frac{1}{x})(\frac{1}{\sin x}) [/tex]? So the leading factor (dampening factor) approaches 0 which makes the whole expression approach 0?(adsbygoogle = window.adsbygoogle || []).push({});

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# Homework Help: Limit proof

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