作业帮[4*6*8*.*(2n+2)]/[3*5*7*.*(2n+1)]的极限是多少?
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/06 12:56:59
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[4*6*8*.*(2n+2)]/[3*5*7*.*(2n+1)]的极限是多少?
[4*6*8*.*(2n+2)]/[3*5*7*.*(2n+1)]的极限是多少?
[4*6*8*.*(2n+2)]/[3*5*7*.*(2n+1)]的极限是多少?
极限是 无穷大
你想吧,把式子拆成
4/3*6/5*8/7*...*2n+2/2n+1
每一个小项都大于1
大于1的数不断相乘
其极限为正无穷
前n项积，该式为发散，所以n趋近无穷，值为无穷！