Any idea how to solve the following Euler sum
∞∑n=1(Hnn+1)3=−3316ζ(6)+2ζ(3)2
I think It can be solved it using contour integration but I am interested in solutions using real methods.
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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