rieman Sums 44 questions how much

For which p > 0 is 1
x
∈ Lp(0, 1)? Lp(1, ∞)? Lp(0, ∞)?

2)If p > 0 and RE |f − fk| −→ 0 as k → ∞, show that fk −→m f on E (and thus that there

is a subsequence fkj −→ f a.e. in E)