Look at the small denominators in Roger's first way (here slightly modified):
how do your denominators compare?
vv =: 2 1 , [: , 1 ,.~ 1 ,.~ 2 + 2 * i.
]v =: vv 3x
2 1 2 1 1 4 1 1 6 1 1
,. (+%)/\ v
2
3
8r3
11r4
19r7
87r32
106r39
193r71
1264r465
1457r536
2721r1001
0j9 ": ,. (+%)/\v
2.000000000
3.000000000
2.666666667
2.750000000
2.714285714
2.718750000
2.717948718
2.718309859
2.718279570
2.718283582
2.718281718
0j9 ": ^ 1
2.718281828
--Kip Murray
Sent from my iPad
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