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Question Number 85351 by naka3546 last updated on 21/Mar/20

Σ_(n= 4) ^∞   ((x^2 +2x+3)/(2^x (x^2  + 4)))  =  ?

$$\underset{{n}=\:\mathrm{4}} {\overset{\infty} {\sum}}\:\:\frac{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{3}}{\mathrm{2}^{{x}} \left({x}^{\mathrm{2}} \:+\:\mathrm{4}\right)}\:\:=\:\:? \\ $$

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