 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2005/paper-1/7/b/i/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

Substituting into the fitted factorial logarithm gives

ln (500!) \approx L (500) ≃ 2611.3224.

This is an estimate from the requested two-point fit, not an exact factorial evaluation.

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