Limit of mean of Iterations of f(x)=(ln(x);x>0,ln(-x) x<0) =-Omega constant for all x

[tommy1729]

\( \lim_{n\to\infty}\frac{\sum_{n=1}^\infty (f^{\circ n}(x))^2}{n}= T(2) \)

\( \lim_{n\to\infty}\frac{\sum_{n=1}^\infty (f^{\circ n}(x))^3}{n}= T(3) \)

Do we know closed forms for T(2) or T(3) ?

regards

tommy1729