求((2n+3)/(2n+1))^(4n-1)的极限

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求((2n+3)/(2n+1))^(4n-1)的极限求((2n+3)/(2n+1))^(4n-1)的极限求((2n+3)/(2n+1))^(4n-1)的极限原式=[1+(2/(2n+1))]^(4n-

求((2n+3)/(2n+1))^(4n-1)的极限
求((2n+3)/(2n+1))^(4n-1)的极限

求((2n+3)/(2n+1))^(4n-1)的极限
原式=[1+(2/(2n+1))]^(4n-1)
=e^[2*(4n-1)/(2n+1)]
=e^[4-(10/2n+1)]
=e^4
n->无穷