there is a continues function f(x) and bounded on (x_0,+infinity)

proove that for every T there is a sequence

X_n=+infinity

so

lim [f(x_n +T) - f(x_n)]=0

n->+infinity

i tried to solve it like this:

the bound is L

if f(x) is bounded than there is e>0 |f(x)-L|<e

but i dont know what to do next

??