Does there exist a function $Q$ such that $$ \dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}+\dots=Q(a+b+c+\dots) $$
where $a,b,c,\dots\in\Bbb{R}$
Does there exist a function $Q$ such that $$ \dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}+\dots=Q(a+b+c+\dots) $$
where $a,b,c,\dots\in\Bbb{R}$
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