Dear Kenneth

Hurray, good for you, good for me, good for all, there is the answer!

For slowly converging series, there is no substitute for  do. loops, not now, 
not in the foreseeable future

finally got your timing program to work, got all the little symbols in the 
right places, not sure yet what it does. For i.1e9   i got a new error: limit 
error, not an 'oom' out of memory error, that with a 4 GB RAM mac book pro 
running 32 bit J.

with an hp ipaq hx pocket pc I got an 'oom' error at ts 'i.1e7'

bit odd

also my mac book pro, previous edition , for ts  'i.1e8' gives me faster values 
than yours ?
.512845   5.36872e8

thanks



thanks
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