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HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05 Question 8

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05

Question 8

Evaluate $\displaystyle\sum_{k=2}^{1000}\frac1{k^2-1}$.