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Evaluate lim(ntooo) {cos((x)/(2))cos((x)...

Evaluate `lim_(ntooo) {cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos((x)/(2^(n)))}`.

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To evaluate the limit \[ \lim_{n \to \infty} \left( \cos\left(\frac{x}{2}\right) \cos\left(\frac{x}{4}\right) \cos\left(\frac{x}{8}\right) \cdots \cos\left(\frac{x}{2^n}\right) \right), \] we can use the product-to-sum formula for cosines, which states that: ...
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