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Problem
Problem
Evaluate
lim
n
→
∞
cos
(
x
2
)
cos
(
x
4
)
cos
(
x
8
)
⋯
cos
(
x
2
n
)
\lim_{n \to \infty} \cos \left( \frac{x}{2} \right) \cos \left( \frac{x}{4} \right) \cos \left( \frac{x}{8} \right) \cdots \cos \left( \frac{x}{2^n} \right)
n
→
∞
lim
cos
(
2
x
)
cos
(
4
x
)
cos
(
8
x
)
⋯
cos
(
2
n
x
)
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