Recent content by demZ

Homework Statement Given A = {An} and B = {Bn}. Prove that Limsup ({AUB}) = Limsup(A) U Limsup(B). Homework Equations The Attempt at a Solution The result of both sides is a set, so I attempted to use double inclusion to prove it. Used the definition of limsup, but didn't manage to...

Thanks for the quick reply! Can you provide the details? I'm not fully understand how to solve this kind of problems. The problem is fairly easy, but what is the correct approach/method when dealing with complex sequences? Also, why \limsup{A_n} is not (0, 1.5)?

Homework Statement For n \in N, let An be (0,1+1/n) if n is even and (-1/n, 1) if n is odd. Find Lim Sup An and Lim Inf An Homework Equations The Attempt at a Solution Basically, I got Lim Sup = Lim Inf = (0,1). I'm not sure it's correct as I always get confused when I need to...