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?
=?

[0] Google "MRB Constant"

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Download int_vs_sum_for_mr.mw