lim[(3x+2)/(3x-2)]^2x x趋于无穷大求解

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lim[(3x+2)/(3x-2)]^2x x趋于无穷大求解
lim[(3x+2)/(3x-2)]^2x x趋于无穷大求解

lim[(3x+2)/(3x-2)]^2x x趋于无穷大求解
lim[(3x+2)/(3x-2)]^2x
=lim[1+1/(3x-2 /4)]^2x
=lim[1+1/(3x-2 /4)]^[(3x-2)/4*4/(3x-2)* 2x]
=e^(4/(3x-2)* 2x)
=e^(8/3)