question_answer

The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{27}^{x}}-{{9}^{x}}-{{3}^{x}}+1}{\sqrt{5}-\sqrt{4+\cos x}}\] is [J & K 2005]

A)                 \[\sqrt{5}{{(\log 3)}^{2}}\]

B)                 \[8\sqrt{5}\log 3\]

C)                 \[16\sqrt{5}\log 3\]

D)                 \[8\sqrt{5}{{(\log 3)}^{2}}\]