A) \[[4,\infty )\]
B) \[(-\infty ,\ 6]\]
C) \[[4,\ 6]\]
D) None of these
Correct Answer: C
Solution :
\[f(x)=\log (\sqrt{x-4}+\sqrt{6-x})\] Þ \[y={{x}^{x}}\,\Rightarrow \,\,\,\log y=x\log x\] and \[6-x\ge 0\]Þ\[x\ge 4\] and \[x\le 6\] \[\therefore \] Domain of \[\therefore \,\,\underset{y\to 0}{\mathop{\lim }}\,\,\log y=\underset{x\to 0}{\mathop{\lim }}\,x\log x\] = \[[4,\,\,6]\].
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