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Question Number 133120 by abdomsup last updated on 19/Feb/21

calculate A_n = ∫∫_([(1/n),n[)   (e^(−x^2 −y^2 ) /(√(x^2 +y^2 +3)))dxdy  and lim_(n→∞) A_n

$${calculate}\:{A}_{{n}} =\:\int\int_{\left[\frac{\mathrm{1}}{{n}},{n}\left[\right.\right.} \:\:\frac{{e}^{−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} } }{\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{3}}}{dxdy} \\ $$$${and}\:{lim}_{{n}\rightarrow\infty} {A}_{{n}} \\ $$

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