计算等差数列{an}{bn}的前n项和分别为An.Bn,且An/Bn=2n/(n+1)求limn→∞(an/bn)

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计算等差数列{an}{bn}的前n项和分别为An.Bn,且An/Bn=2n/(n+1)求limn→∞(an/bn)

计算等差数列{an}{bn}的前n项和分别为An.Bn,且An/Bn=2n/(n+1)求limn→∞(an/bn)
计算等差数列{an}{bn}的前n项和分别为An.Bn,且An/Bn=2n/(n+1)求limn→∞(an/bn)

计算等差数列{an}{bn}的前n项和分别为An.Bn,且An/Bn=2n/(n+1)求limn→∞(an/bn)
an/bn=A(2n-1)/B(2n-1)=[2×(2n-1)]/[(2n-1)+1]=(2n-1)/n=2- 1/n
n->+∞,1/n->0 2-1/n ->2
lim(an/bn) =2
n->+∞
其中,an/bn=A(2n-1)/B(2n-1),可以作为公式用.有兴趣的话你也可以自己推导一下.

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