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L'Hôpital's ain't helpin' on this one

Calculus Level 4

$\large \lim_{x\to\infty} x^2\ln(x\cot^{-1}x)=?$

\frac{1}{3}

-\frac{1}{3}

\frac{2}{3}

-\frac{2}{3}

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by Digvijay Singh

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