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若极限LIM[(3N+1)*AN]=1,求LIM(NAN)的极限 答案为1/3.
人气:236 ℃ 时间:2020-06-24 02:31:44
解答
由于3n+1→∞,而要使lim (3n+1)an存在,必有an→0
所以 lim(3n+1)an = lim 3nan + lim an
=3lim nan +0
=3lim nan
=1
得到lim nan = 1/3
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