1/1*3+1/3*5+```+1/(2n-1)(2n+1)怎样用裂项法求和?

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1/1*3+1/3*5+```+1/(2n-1)(2n+1)怎样用裂项法求和?1/1*3+1/3*5+```+1/(2n-1)(2n+1)怎样用裂项法求和?1/1*3+1/3*5+```+1/(2n-

1/1*3+1/3*5+```+1/(2n-1)(2n+1)怎样用裂项法求和?
1/1*3+1/3*5+```+1/(2n-1)(2n+1)怎样用裂项法求和?

1/1*3+1/3*5+```+1/(2n-1)(2n+1)怎样用裂项法求和?
1/1*3+1/3*5+...+1/(2n-1)(2n+1)
=1-2/3+2/3-3/5+3/5-4/7+...+n/(2n-1)-(n+1)/(2n+1)
=1-(n+1)/(2n+1)
n/(2n+1)