Evaluate (lim)n∞{cos(2x)cos(4x)cos(8x)cos(2nx)}

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Evaluate {({lim})}_{{{n}{}}}{{{{({{x}}{{2}})}}}{{{({{x}}{{4}})

Question

Evaluate $(lim)_{n \infty} {cos (\frac{x}{2}) cos (\frac{x}{4}) cos (\frac{x}{8}) cos (\frac{x}{2 ^{n}})}$

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(lim)_{n \infty} {cos (\frac{x}{2}) cos (\frac{x}{4}) cos (\frac{x}{8}) cos (\frac{x}{2 ^{n}})}

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Question Text

Evaluate

(lim)_{n \infty} {cos (\frac{x}{2}) cos (\frac{x}{4}) cos (\frac{x}{8}) cos (\frac{x}{2 ^{n}})}