The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\cos \left( \frac{x}{2} \right)\cos \left( \frac{x}{4} \right)\cos \left( \frac{x}{8} \right)...\cos \left( \frac{x}{{{2}^{n}}} \right)\] is

The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\cos \left( \f

1.	The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\cos \left( \frac{x}{2} \right)\cos \left( \frac{x}{4} \right)\cos \left( \frac{x}{8} \right)...\cos \left( \frac{x}{{{2}^{n}}} \right)\] is
A.	1
B.	\[\frac{\sin x}{x}\]
C.	\[\frac{x}{\sin x}\]
D.	None of these
Answer» C. \[\frac{x}{\sin x}\]

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The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\cos \left( \frac{x}{2} \right)\cos \left( \frac{x}{4} \right)\cos \left( \frac{x}{8} \right)...\cos \left( \frac{x}{{{2}^{n}}} \right)\] is

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