Let $R$=$\mathbb{F}$$[[x]]$, where $\mathbb{F}$ is a field. Show that $F(R)$(the field of fractions) may be identified with the ring $\mathbb{F}$$((x))$ of formal Laurent series.
A formal Laurent series is a sequence $(a)$=$(a_i)_{i\in\mathbb{Z}}$, with $a_i\in\mathbb{F}$, and for some $k\in\mathbb{Z}$(depending on $a$), $a_i=0$ whenever $i
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