[SOLVED] Convergence/divergence of an integral
Hi again !
This time, I'm really struggling with a problem...
Let be the set of functions defined over , continuous, with real values.
. Let F be the antiderivative of f that annulates in 0.
Let E be the subset of functions f in such that converges.
1/ Determine the positive functions f in E such that .
It's ok, f=0.
2/ Let f be a positive function of
It's ok for this.
Find an example for f (necessarily not of constant sign) in E and such that diverges.
Thanks for your help, we are really struggling with that :(
(and I have no assignment, I'm asking several questions these days because I have an exam tomorrow :))