Find $\lim_{x\rightarrow \infty} \frac{1}{x^2}\sin x^2\tan x$

How should I compute the limit
$$\lim_{x\rightarrow \infty} \frac{1}{x^2}\sin x^2\tan x?$$

  • My teacher said it should be zero, but I don't know why.


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Erdos Erdos
The answer is accepted.
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