There are a lot of convergent sequences given here
https://mathworld.wolfram.com/eContinuedFraction.html, e.g. for *e*:
2 1,;(<1 1),~&.>2*1+i.x:5 NB. A sequence of
integers
2 1 2 1 1 4 1 1 6 1 1 8 1 1 10 1 1
0j18":(+%)/2 1,;(<1 1),~&.>2*1+i.x:5
2.718281828458563411
On
You can see how Raul's 2nd example, where he does not add 2, has fewer
correct digits than the one where he does not add it because adding 2 gives
you two more useful terms, as he mentions.
On Tue, Oct 3, 2023 at 7:35 AM Raul Miller wrote:
> A couple notes here:
>
> One is that 0j18":Y will give
A couple notes here:
One is that 0j18":Y will give you 18 places after the decimal point
regardless of the magnitude of Y
Another is that we can inspect intermediate results in the expression
%-/%!2+x:i.x
Let's try that here with smaller values for x (and leaving out the x:
so that we're using f