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Question Number 117144 by cantor last updated on 09/Oct/20

$${\mathit{S}}_{\mathit{n}}=\underset{\mathit{k}=1}{\prod ^{\mathit{n}}}\mathit{c}\mathit{o}\mathit{s}\left(\mathit{k}\mathit{x}\right)=??????$$$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{h}\mathit{e}\mathit{l}\mathit{p}$$

Answered by Olaf last updated on 10/Oct/20

$$$$$$\mathrm{No}\mathrm{general}\mathrm{formula}\mathrm{for}\mathrm{that}!$$$$$$$$\mathrm{Some}\mathrm{formulas}\mathrm{exist}\mathrm{for}\mathrm{particular}$$$$\mathrm{values}\mathrm{of}x\mathrm{or}/\mathrm{and}\mathrm{for}n=\mathrm{\infty }.$$

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