Re: series for a transcendental constant

On Mar 29, 3:53 am, Gerry Myerson <g...@xxxxxxxxxxxxxxxxxxxxxxxxx>
wrote:
In article <1175099524.072464.244...@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,

"Narasimham" <mathm...@xxxxxxxxxxx> wrote:
Can any series represent or approximate the number X ( ~ 0.931816),
solved out from (X e)^pi = (X pi)^e ?

Concerning your subject header - how do you know that
this constant is transcendental?

Concerning the various series that have been proposed as answers;
I guess the interesting question is, is there a series with rational
terms and given by a simple rule such that the series sums to X?
I won't attempt to give an airtight definition of the word "simple."
I do mean to rule out such stuff as a_n = (10^(-n)) (n-th digit of X).

a_n = A_n (10^(-n));the coefficient A_n has to be formula-wise
generated, should not be 9,3,1,8 ...

Gerry Myerson (g...@xxxxxxxxxxxxxxx) (i -> u for email)


.

Relevant Pages

  • Re: series for a transcendental constant
    ... Concerning your subject header - how do you know that ... terms and given by a simple rule such that the series sums to X? ... I won't attempt to give an airtight definition of the word "simple." ... Gerry Myerson ...
    (sci.math)
  • Re: Able to solve this simple-looking math problem?
    ... You asked the same question in this newsgroup in March. ... Back then, the subject header was, ... Can you solve this math problem? ... Gerry Myerson ...
    (sci.math)