A Riemann-Style Limit

5/10Limitscalculussequences

Problem

Evaluate

limn+k=1nn(2nk)(2n+k).\lim_{n \to +\infty} \sum_{k=1}^{n} \frac{n}{(2n-k)(2n+k)}.

Answer

Solution

Difficulty5/10
TopicsLimits, calculus, sequences

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