 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ib/paper-3/3a/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Uniqueness of Laurent coefficients applied to

f (z) = f (- z)

gives

\sum_{n} a_{n} z^{n} = \sum_{n} (- 1)^{n} a_{n} z^{n} .

Hence $a_{n} = (- 1)^{n} a_{n}$ , so every coefficient with odd $n$ vanishes.

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