n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方

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n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方
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n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方
n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方

n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方
lim[(3n+1)/(3n-1)]^(2n+3)
=lim[1+2/(3n-1)]^{[(3n-1)/2]*[2(2n+3)/(3n-1)]}
=e^ lim[2(2n+3)/(3n-1)]
=e^(4/3)