Let $\mathrm{p}=\lim _{\mathrm{x} \rightarrow 0+}\left(1+\tan ^{2} \sqrt{\mathrm{x}}\right)^{\frac{1}{2 x}}$ then $\log \mathrm{p}$ is equal to :-
$\frac{1}{4}$
2
1
$\frac{1}{2}$
Correct Option: , 4
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