 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-1/10e/c/solution

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

x_{n} \to x

, continuity of

f

gives

f (x_{n}) \to f (x)

, and continuity of

g

f (x)

then gives

g (f (x_{n})) \to g (f (x))

. The sequential criterion proves continuity of

g \circ f

x

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