tiny limit-curiosity [ from ratio b^^(2j) / b^^j ]
#3
(07/26/2009, 10:02 PM)tommy1729 Wrote: i think you can reduce to :

\( \hspace{24} \lim_{k->\infty, \ j=2^k} \hspace{24} \log( \frac{h(b)}{b\^\^ ^j })^{\frac1j} -> \log(t) \)


it seems to converge faster and to the same value.

for instance dont you get the same result for the ratio b^^3j / b^^ j as the ratio b^^2j / b^^ j ?

it seems so at first sight , without using many iterations though.

im not sure im right here , but you have the power to check it.

btw i mainly tried base sqrt(2) for convenience.

high regards

tommy1729

not ?

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RE: tiny limit-curiosity [ from ratio b^^(2j) / b^^j ] - by tommy1729 - 12/13/2009, 06:38 PM

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