• 7106
ᐥIf f is monotone on [a,b] then f is Riemann integrable on [a,b].ᐥ Suppose that f is increasing and let P a partition where x⸤i⸥−x⸤i−1⸥ = (b−a)/n. ∀ε>0 ∃n∈ℕ such that n>(f(b)−f(a))·(b−a)/ε. ｢sup(f(x))ƧP[a,b]｣ − ｢inf(f(x))ƧP[a,b]｣ = ｢(sup(f(x))−inf(f(x))) ...
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