Can you proof or disprove the following? $\lim_{n \to \infty} (\frac {\tan1+\tan 2+\cdots+\tan n}{n})=0$. Is there any ergodic type theorem that can come to help?
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Perhaps it's helpful : http://math.stackexchange.com/questions/650403/which-methods-different-than-the-natural-one-can-one-devise-to-confirm-that-the – Feb 17 '14 at 22:53
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@ Julien.I need to read through that carefully.In fact this came up as I was thinking of link – BigM Feb 18 '14 at 00:20
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1So...look at : http://math.stackexchange.com/questions/159438/prove-the-convergence-divergence-of-sum-limits-k-1-infty-frac-tank – Feb 18 '14 at 00:24