1+1/(2n+1)(2n-1) 求它们的值 (n为整数)
问题描述:
1+1/(2n+1)(2n-1) 求它们的值 (n为整数)
答
1+1/(2n+1)(2n-1)
=(2n+1)(2n-1)/(2n+1)(2n-1)+1/(2n+1)(2n-1)
=(4n²-1+1)/(2n+1)(2n-1)
=4n²/(4n²-1)