MRB Constant-C

February 22 2009 Marvin Ray Burns 485

0


Download int_vs_sum_for_mr.mw

Looking at the attached worksheet,

it appears that the absolute value, minus 1/2, of the integral of (-1)^x*x^(1/x) from 1 to infinity would equal the partial sum of (-1)^x*x^(1/x) from 1 to where the upper summation is even and growing without bound [0]. Is anyone interested in improving or disproving this conjecture? 

 

abs(Int( (-1)^x*x^(1/x),x=1..infinity))-1/2   =?   

Sum( (-1)^x*(x^(1/x)),x=1..infinity)

 

[0] Google "MRB Constant"

Sum( (-1)^x*(-1+x^(1/x)),x=1..infinity)

 

 



(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

(13)

(14)

(15)



Download int_vs_sum_for_mr.mw

Please Wait...