n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方
问题描述：
n趋向无穷,求极限(3n+1)/(3n-1)的2n+3次方
答
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)