Timeline for Upper limit on the central binomial coefficient
Current License: CC BY-SA 3.0
3 events
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Jul 1, 2013 at 14:18 | comment | added | David E Speyer | I'm not sure what counts as elementary in this game, but I would think the easiest proof that $\frac{1}{\pi} \int \cos^{2n} x dx = \binom{2n}{n}/4^n$ is to write $\cos x = (e^{ix} + e^{-ix})/2$ and expand $\cos^{2n}$ by the binomial theorem. | |
Jun 16, 2013 at 13:18 | vote | accept | RandomStudent | ||
Jun 16, 2013 at 13:26 | |||||
Jun 14, 2013 at 14:40 | history | answered | Noam D. Elkies | CC BY-SA 3.0 |