Statement-1: If \( f(x)=\frac{2}{\pi} \cot ^{-1}\left(\frac{3 x^{2}+1}{(x-1)(x-2)}\right) \),
th.... VIDEO
Statement-1: If \( f(x)=\frac{2}{\pi} \cot ^{-1}\left(\frac{3 x^{2}+1}{(x-1)(x-2)}\right) \),
\( \mathrm{P} \)
then \( \lim _{x \rightarrow 1^{-}} f(x)=0 \) and \( \lim _{x \rightarrow 2^{-}} f(x)=2 \)
Statement-2: \( \lim _{x \rightarrow \infty} \cot ^{-1} x=0 \) and
\[
\lim _{x \rightarrow-\infty} \cot ^{-1} x=\pi
\]
(A) Statement-1 is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1.
(B) Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement-1.
(C) Statement-1 is True, Statement-2 is False.
(D) Statement-1 is False, Statement-2 is True.
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