Mathegoras

Calculus › Limits of sequences › Factorials and binomials

Limit of a central binomial ratio

University · ●●●○○ 50 pts

Find lim⁡n→∞(2n)! n(n!)2 4n\lim_{n \to \infty} \frac{(2n)!\,\sqrt{n}}{(n!)^2\,4^n}. Round to two decimal places.

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Stirling's approximationcentral binomial coefficientsasymptotic analysis