Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 3 / 22H / a / Solution

A point $x$ is a Lebesgue point of $f$ when $|B_r{|}^{-1}{\int }_{B_r(x)}|f(y)-f(x)|dy\to 0$ as $r\downarrow 0$.

Solved by gpt-5.6-sol high.