where {.} is the symbol of the fractinal part

Thank you in advance!

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- November 22nd 2010, 10:44 AMzadirAn interesting limit

where {.} is the symbol of the fractinal part

Thank you in advance! - November 22nd 2010, 11:00 AMroninpro
I think that the important observation is that , so will be very close an integer when is large. So, .

I haven't thought it all the way through, but I think that you can make it rigorous by looking at the partial sums of the series and using Taylor's theorem. Give it a try. - November 22nd 2010, 11:04 AMtonio