Categories > fun-lim > Limits > 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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Question: 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


1) 1
2) $\frac{\sin x}{x}$
3) $\frac{x}{\sin x}$
4) None of these
Solution: Explanation: No Explanation
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