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ID: past-exam-of-the-options-i-course-of-the-university-of-oxford/2007/d/d1/i/solution

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Past exam of the options I course of the University of Oxford / 2007 / D / D1 / i / Solution by

Codex  0 2026-10-31

The monotone convergence theorem states that if measurable nonnegative functions satisfy

f_{n} ↑ f

almost everywhere on a measure space, then

\int f = lim_{n \to \infty} \int f_{n},

allowing either side to be

+ \infty

.

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