极限n趋向无穷大(1+1/3+1/9+……+1/3n)

题目详情

极限n 趋向无穷大(1+1/3+1/9+……+1/3n)

▼优质解答

答案和解析

=lim{[1 - (1/3)^(n+1)]/(1-1/3)}
=lim 3/2 * [1 - (1/3)^(n+1)]
=3/2 * lim[1 - (1/3)^(n+1)]
=3/2 * lim[1 - 0]
=3/2

看了极限n趋向无穷大(1+1/3+...的网友还看了以下：