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November 2nd, 2010, 06:38 PM   #1
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LIMIT ANALYTHIC OR ROTATION NUMBER?

The problem is:

Let 0 < < 1 be irrational and

, n=1,2,3...

The sequence

detects the sign changes of the sequence s_n. Prove:

lim (N --> inf)

I don't know how to finish the problem analytically! should I use the rotation number?

Thanks you so much! Help, please!
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