Wednesday, 6 November 2013

calculus - Proof of Euler's general formula for a sum involving harmonic numbers

I have seen this formula, but how to prove this?
2k=1Hk(k+1)m=mζ(m+1)m2k=1ζ(mk)ζ(k+1)

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...