 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/12i/a/solution

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

Liouville approximation theorem says that if algebraic irrational

α

has degree

d \geq 2

, then

∣ α - p / q ∣ > C (α) q^{- d}

for all rationals

p / q

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