4 ms·
sqrt(2) has the CF [1;2,2,2,2,2,...] and yet it appears to be normal. Similarly sqrt(5) has the CF [2;4,4,4,4,4,...] It's generally expected that non-integer
by CarolineW 11y ago
sqrt(2) has the CF [1;2,2,2,2,2,...] and yet it appears to be normal. Similarly sqrt(5) has the CF [2;4,4,4,4,4,...]
It's generally expected that non-integer square roots are normal, and yet they always have repeating CFs.
All that combines to mean that I would be surprised if e turns out not to be normal.
- irremediable 11y agoYeah, great counterexample. I was thinking, "but continued fractions... that rings a bell..." -- couldn't figure out what seemed off about it, though.