well, we simply split this thing on two sets: and and we can proceed from there.
SEE EDIT BELOW.
Show that converges.
for .
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.