求((2n+3)/(2n+1))^(4n-1)的极限

问题描述:

求((2n+3)/(2n+1))^(4n-1)的极限

1

原式=[1+(2/(2n+1))]^(4n-1)
=e^[2*(4n-1)/(2n+1)]
=e^[4-(10/2n+1)]
=e^4
n->无穷