ok guys i'm trying to get my head around pointwise convergence.
I'm working through an example, I = [0,1]
fn(x) = 0 ,for x=0
= ((-1)^n)n ,for x E (0,1/n]
= 0 ,for x E (1/n,1]
pick some N large enough so that it satisfies 1/N < x. Then fn(x) = 0 for all n less than or equal to N and so fn(x) ---> 0
I can't seem to see why how picking an N proves the convergence?
any help would be much appreciated