MRB constant S part 2

Define s as the following function involving a divergent series.

The upper limit point of the partial sums, of s is very slowly convergent.

Let mrb be tthe upper limit point of s as x goes to infinity.

Define f as the following function involving the divergnet series

Let c be the value for a in the neighborhood of 26 such that f(a)=mrb.

The average of the upper and lower limit points of the partil sums of f converges much faster than the  upper limit point of the partial sums of s.