Advanced-calculus-prove-that-n-1-1-3-n-n-3-7-8-3-1-6-ln-3-2-pi-2-12-ln-2-

Question Number 118304 by mnjuly1970 last updated on 16/Oct/20

\dots \underset{\blacktrinagledown}{\overset{\blacktrinagledown}{⧫}} A d v a n c e d c a l c u l u s \underset{\blacktrinagledown}{\overset{\blacktrinagledown}{⧫}} \dots

p r o v e t h a t ::

\underset{n = 1}{\sum^{\infty}} \frac{1}{3^{n} n^{3}} \overset{? ? ?}{=} \frac{7}{8} ζ (3) + \frac{1}{6} {l n}^{3} (2) - \frac{π^{2}}{12} l n (2) ✓

\dots ♠ M . N . J u l y 1970 ♠ \dots

. G o o d l u c k .