For 1)
I suggest you try dominating the sequence with
To check integrability you just need to compute
since f is continuous the lebesgue integral and riemann integral are the same and you can compute it.
Hi, I have a couple of things I am stuck on.
1.
Use the dominated convergence theorem to find
where
I deduced that since the sequence converges to 0 pointwise and we have dominating function such that .
All I need to do now to show that the dominating function is integrable so that the sequence of the integrand converges to 0.
But how do you show this?
2. How do you show that a sequence that converges to in then
Cheers