\[ \large \lim_{x \to 0} \frac{ 1- \displaystyle \prod_{k=1}^{100} \cos kx}{x^2} = \, ? \]

**Bonus:** Generalize for \(n\) or \(\displaystyle \lim_{x \to 0} \frac{ 1-\prod_{k=1}^{n} \cos kx}{x^2}\).

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