Calculate limit with L'Hospital's rule – math.stackexchange.com

Calculate limit with L'Hospital's rule – math.stackexchange.com

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I want to calculate the limit $\displaystyle{\lim_{x\rightarrow 0}\frac{x^2\cos \left (\frac{1}{x}\right )}{\sin x}}$. I have done the following: It holds that $\lim_{x\rightarrow 0}\frac{x^2\cos ...

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