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color legend

Hello Group,
I want to add a color grayscale 
(myColorFunction[x_]:=RGBColor[1-x,1-x,1-x]) legend this arrayplot, from 
min (white) to max (dark) values.

ArrayPlot[Table[5./(1 + x^2 + y^2), {x, -5, 5}, {y, -5, 5}], Frame -> None]

best regards,

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