\begin{tabular}{|c|c|} \hline Column-I \\ \hline (A) & Maximum value of \( f(x)=\log _{2}\left(\...

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\begin{tabular}{|c|c|} \hline Column-I \\ \hline (A) & Maximum value of \( f(x)=\log _{2}\left(\frac{4}{\sqrt{x+2}+\sqrt{2-x}}\right) \) \end{tabular}
(B) The value of \( \left[4 \sum_{n=1}^{\infty} \cot ^{-1}\left(1+\sum_{k=1}^{n} 2 k\right)\right]= \)
(Q)
1
([]. represent greatest integer function)
(C) Let \( f(x)=x \sin \pi x, x0 \) then number of points in (R) (P) \( (0,2) \) where \( f^{\prime}(x) \) vanishes, is
(D) \( \lim _{x \rightarrow 0^{+}}\left[\frac{x}{e^{x}-1}\right]= \)
(S)
2
([]] represent greatest integer function)
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