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Calculus Level 4

limx01k=1100coskxx2=? \large \lim_{x \to 0} \frac{ 1- \displaystyle \prod_{k=1}^{100} \cos kx}{x^2} = \, ?

Bonus: Generalize for nn or limx01k=1ncoskxx2\displaystyle \lim_{x \to 0} \frac{ 1-\prod_{k=1}^{n} \cos kx}{x^2}.


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