 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2004/ib/paper-1/4g/i/solution

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

At every fixed

x

F_{n} (x) = e^{x} / n \to 0

. Moreover

sup_{0 < x < 1} e^{x} / n = e / n \to 0

. Thus the pointwise limit is zero and convergence is uniform.

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