应该是1/3*5+1/5*7+1/7*9…+1/2009*2011.
1/3*5+1/5*7+1/7*9…+1/2010*2011
=1/2*(1/3-1/5+1/5-1/7…+1/2009-1/2011)
=1/2(1/3-1/2011)
=1004/6033
应该是1/3*5+1/5*7+1/7*9…+1/2009*2011.
1/3*5+1/5*7+1/7*9…+1/2010*2011
=1/2*(1/3-1/5+1/5-1/7…+1/2009-1/2011)
=1/2(1/3-1/2011)
=1004/6033