求Lim[1/1*2+1/2*3+1/3*4+……+1/n(n+1)]^n
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求Lim[1/1*2+1/2*3+1/3*4+……+1/n(n+1)]^n
求Lim[1/1*2+1/2*3+1/3*4+……+1/n(n+1)]^n
求Lim[1/1*2+1/2*3+1/3*4+……+1/n(n+1)]^n
原式=lim[1-1/(n+1)]^n=1^n-n/(n+1)^(n-1)+0=1 (n->∞)
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