Recent content by koshn

Thanks that helped to clear the confusion I was having. The definition I'm using is that lim sup x_n is defined to be the infimum of all numbers b with the following property: There is an integer N so that x_n < b for all n >= N.

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...

Ok that makes sense. Thanks.

Homework Statement Prove that a/b=c/d if and only if ad=bc Homework Equations Multiplicative inverse property: (a)(a^1) = 1 Commutativity: ab = ba Associativity: (ab)c = a(bc) Transitivity: If a = b and b = c then a = c The Attempt at a Solution a/b=c/d=ab^1= cd^1. Multiplying both sides by...