liminf and limsup Watch
If n is in the set of natural numbers, and An = [ -1/n , 2 ) when n is odd, and [ -3 , 1/n ) when n is even, how do I find the limsup and liminf of An?
So, the first step is to work out what you get from
Far be it from me to criticise you but I'm confused: he's dealing with sets and your definition is for sequences, no? Shouldn't there be some unions and intersections floating around?
then apply my previous remarks to the intersection on the right hand side.
Still, yesterday, I wasted 15 minutes on one of those Australian A level questions by using the wrong value for - maybe this website is jinxed. I mean, it can't be *us*, can it?