 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/22h/c/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

f * g_{n} (x) - f (x) = \int g (u) [f (x - u / n) - f (x)] d u

. Compact support and boundedness of

g

reduce this to a constant times the mean oscillation over a ball of radius

O (1/ n)

, which tends to zero.

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