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数列极限的运算
lim an/(an+1) =2 求lim 2an
lim (2n+1)*an=3 求lim n*an
人气:245 ℃ 时间:2020-06-28 16:37:03
解答
1.lim an/(an+1) =2 ==>lim (an+1)/an=lim(1+1/an)=1/2 ==>lim 1/an=-1/2==>lim an=-2 ==>lim 2an=-22.lim an/(2n*an)=lim 1/(2n)=0 ==>an远小于 nanlim (2n+1)*an=3 ==>lim 2n*an=3 ==>lim n*an=3/2
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