Math problem where graphing calculator may slow you down...

[Thomas Klemm]

(08-18-2014 10:26 PM)Bunuel66 Wrote:  Very smart indeed, but even assuming that pi is known with the appropriate accuracy, the choice of 1024 and 256 are not random as they must insure the convergence of the approximation in a neighborhood small enough for being conclusive. May be some trials and errors? Very nice nevertheless.

You just have to use an n so that \(50 < (1+\frac{\pi}{n})^{\frac{5}{4}n}\). You could just as well use n = 512 but n = 256 would be too small.
BTW: Who doesn't know \(\pi\) to 10 places? Ask Geir Isene.

Cheers
Thomas