 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2001/ib/paper-1/1a/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

Uniformly continuous. For

x \geq 1

, the derivative satisfies

\frac{d}{d x} \frac{s i n x}{x} = \frac{c o s x}{x} - \frac{s i n x}{x ^{2}} \leq 2.

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