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问题: 极限:计算lim(C0/n C2/n C4/n ...)/(1-2^n)=? (n→∞)

计算lim[(C0/n+C2/n+C4/n+...)/(1-2^n)]=? (n→∞)

解答:

[C(n,0)+C(n,2)+C(n,4)+......]/(1-2^n)
=2^(n-1)/(1-2^n)
=1/[1/2^(n-1)-2]
--->lim......=1/(0-2)=-1/2