If [.] denotes the greatest integer function, then \( \lim _{x \rightarrow 0} \frac{\tan \left(\....

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If [.] denotes the greatest integer function, then
\( \mathrm{P} \)
\( \lim _{x \rightarrow 0} \frac{\tan \left(\left[-2 \pi^{2}\right] x^{2}\right)-x^{2} \tan \left[-2 \pi^{2}\right]}{\sin ^{2} x} \) is equal to
(1) \( -20+\tan 20 \)
(2) \( 20+\tan 20 \)
(3) 20
(4) none of these


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