The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{27}^{x}}-{{9}^{x}}-{{3}^{x}}+1}{\sqrt{2}-\sqrt{1+\cos x}}\] is

The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{27}^{x}}-{{9

1.	The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{27}^{x}}-{{9}^{x}}-{{3}^{x}}+1}{\sqrt{2}-\sqrt{1+\cos x}}\] is
A.	\[4\sqrt{2}{{(log3)}^{2}}\]
B.	\[8\sqrt{2}{{(log3)}^{2}}\]
C.	\[2\sqrt{2}{{(log3)}^{2}}\]
D.	None of these
Answer» C. \[2\sqrt{2}{{(log3)}^{2}}\]

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The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{27}^{x}}-{{9}^{x}}-{{3}^{x}}+1}{\sqrt{2}-\sqrt{1+\cos x}}\] is

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