信发铝业:【已知A=1/2^3 +1/(2^3+1) +1/(2^3+2) +… +1/(2^4-1),则A与1的大小关系是______】

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/14 06:14:01
已知A=1/2^3 +1/(2^3+1) +1/(2^3+2) +… +1/(2^4-1),则A与1的大小关系是______

A=1/2^3 +1/(2^3+1) +1/(2^3+2) +… +1/(2^4-1)
=1/8+1/9+1/10+……+1/15
<1/8+1/8+1/8+……+1/8
=8*1/8
=1
---> A<1

a小于1

A=1/2^3 +1/(2^3+1) +1/(2^3+2) +… +1/(2^4-1)
=1/8+1/9+1/10+……+1/15
<1/8+1/8+1/8+……+1/8
=8*1/8
=1
---> A<1

^是事么意思?

^是事么意思?

没见过