 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/27k/c/solution

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

The strong law gives

T_{n} / n \to 1/ λ

. Since

T_{N_{t}} \leq t < T_{N_{t} + 1}

and

N_{t} \to \infty

, sandwiching yields

N_{t} / t \to λ

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