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1-calculate-A-n-0-n-2-dxdy-2x-2-3y-2-2-2-find-lim-n-A-n-




Question Number 138276 by mathmax by abdo last updated on 11/Apr/21
1) calculate A_n =āˆ«āˆ«_([0,n[^2 )    ((dxdy)/((2x^2  +3y^2 )^2 ))  2)find lim_(nā†’+āˆž) A_n
$$\left.\mathrm{1}\right)\:\mathrm{calculate}\:\mathrm{A}_{\mathrm{n}} =\int\int_{\left[\mathrm{0},\mathrm{n}\left[^{\mathrm{2}} \right.\right.} \:\:\:\frac{\mathrm{dxdy}}{\left(\mathrm{2x}^{\mathrm{2}} \:+\mathrm{3y}^{\mathrm{2}} \right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\mathrm{find}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{A}_{\mathrm{n}} \\ $$

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