Is there a limit of cos$\cos (n!)$?

Hi, II encountered a problem today to prove that cos (n!)$\cos (n!)$ does not have a limit. I have no idea how to do it formally. Could someone help? The simpler the proof (by that iI mean less complex theorems are used) the better. Thanks

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edited Nov 3, 2010 at 5:25

Andrés E. Caicedo

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Post Reopened by Georges Elencwajg, Daniel Moskovich, Will Jagy, Andrés E. Caicedo, Gil Kalai

occurred Nov 3, 2010 at 4:55

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edited Nov 2, 2010 at 21:41

Willie Wong

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ca.classical-analysis-ode tag-removed

Post Closed as "too localized" by Ryan Budney, Andrey Rekalo, José Figueroa-O'Farrill, Will Jagy, Harald Hanche-Olsen

occurred Nov 2, 2010 at 21:32

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asked Nov 2, 2010 at 20:50

loskol

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Is there a limit of cos$\cos (n!)$?

Is there a limit of cos (n!)?

Is there a limit of $\cos (n!)$?