 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ib/paper-3/18h/d/i/solution

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

For

n = 100

and

τ = 1

p (0) = 1, q (0) = \frac{1}{1 + 1/ 101} < 1.

Both are continuous, so when

∣ \overline{x} ∣

is sufficiently small,

p (\overline{x}) > q (\overline{x}) .

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