Re: [math-fun] Average distance on the unit sphere puzzle

I’m betting on sqrt(2). Jim Propp On Tuesday, May 29, 2018, Dan Asimov <dasimov@earthlink.net> wrote:

Let D(n) denote the average distance through R^(n+1) between two points uniformly distributed on the unit n-sphere S^n.

E.g., D(1) = 4/π, D(2) = 4/3.

Puzzle: Find the limit

lim D(n) n—>oo

—Dan

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