Suppose f is integrable for all x in[a,b] and f(x)>C ( C is some constant),
Must show that 1/f is also integrable.
f is integrable implies Upf-Lpf<[tex]\epsilon[/tex] for some partition in [a,b]
The Attempt at a Solution
Therefore, I must come up with a good [tex]\epsilon[/tex] such that
Lp(1/f) - Up(1/f) <[tex]\epsilon[/tex]
Also f is bounded because it's integrable so there must be some m,M such that
in other words f acheives it's minimum and maximum points on the interval.