证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)
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证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)证明1/(n+1)+1/(n+2)+1/(n+3)+……
证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)
证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)
证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n)
利用柯西不等式：
∵[1/(n+1)+1/(n+2)+……+1/(2n)]^2
证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
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证明：1/(n+1)
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证明2/（3^n-1)
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n为正整数,证明:n[(1+n)^1/n-1]