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feixiaolin: ÊýѧEPI+1, http://emuch.net/bbs/viewthread.php?tid=9452448&fpage=1 EPI 2015-10-03 07:56:08
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Lim{Power{[Cos(1/n)]^n^3,1/n},n-->¡Þ}
=Lim{Power{Cos(1/n) , n^2},n-->¡Þ}
=exp{Lim{Ln{Power{Cos(1/n) , n^2}},n-->¡Þ}}
=exp{Lim{ n^2*Ln{Cos(1/n)},n-->¡Þ}}
=exp{Lim{ Ln{Cos(1/n)}/(1/n^2) , n-->¡Þ}}
=exp{Lim{1/2*Sin(1/n)}/(1/n) , n-->¡Þ}}
=sqrt(e)>1
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