El martes, 29 de octubre de 2013 11:15:50 UTC-4:30, Ludovicus escribió: > Consider the series: > > x + x^2 + (x + x^2)^3 + .... > > U(n+1) = Un + (Un)^n > > Which is the maximum x than maintain the convergence? > > I think , 0.3105 < x < 0.311. > > Please calculate x and U(100) with 6 correct digits. > > Ludovicus
The Ben Bacarise's answer for x1 is correct (Also that the limit is 1). Thanks Now we have a new mathematical constant with a precision of 34 digits!!