well, we simply split this thing on two sets: and and we can proceed from there.
SEE EDIT BELOW.
Show that converges.
converges to 1.
So, by the Comparison Theorem, converges.
Does that work? I'm only wary of it because I used the fact that for which doesn't consider x between 0 and 1... Any help?
EDIT: Sorry, I misread the problem! I'm supposed to do which fixes my issue.