- #1
koshn
- 4
- 0
Homework Statement
http://i.imgur.com/ARy65.png
Homework Equations
Just general definitions of lim sups and lim infs
The Attempt at a Solution
I'm stuck on the part a. I realize that since a_n has a limit that means it is bounded and monotone. By I don't know how that implies that b_m is nonincreasing. The way I understand b_m is that b_1 = sup{a_m} and b_2 = sup{a_m,a_(m+1)} so is that correct? If so doesn't it depend on whether or not a_m is less than or greater than a_(m+1) and so on to know that b_m is nonincreasing?