Proving Pointwise Convergence for Sequence of Functions fn(x)

[doggie_Walkes]

This has stuck with me for a long time, i just can't do it.

If the sequence of functions, fn(x): R+ --> R

where fn(x) is defined as

fn(x) = x/n if 0 is greater than and equal to x, x is less than and equal to n

fn(x) = 1 if x is strickly greater than n


I need to show that the fn(x) is pointwise convergence so the zero function. f(x) =0

 

[Dick]

Pick any x0>0 and epsilon>0. Find an N such that for all n>N, f_n(x0)<epsilon. Surely you can at least TRY and start.