Which option is correct?
1
f is integrable on [a, b] if f for every ϵ < 0 there exists a partition P such that U(P, f) - L(P, f) > ϵ.
2
f is integrable on [a, b] if f for every ϵ > 0 there exists a partition P such that U(P, f) - L(P, f) > ϵ.
3
f is integrable on [a, b] if f for every ϵ < 0 there exists a partition P such that U(P, f) - L(P, f) = 0.
4
f is integrable on [a, b] if f for every ϵ > 0 there exists a partition P such that U(P, f) - L(P, f) < ϵ.