简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11

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简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*111

简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11

简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
=(1/2)(1/1-1/3)+(1/2)(1/3-1/5)+(1/2)(1/5-1/7)+(1/2)(1/7-1/9)+(1/2)(1/9-1/11)
=(1/2)[1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11]
=(1/2)(1-1/11)
=(1/2)(10/11)
=5/11

1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
=1/2*[(1/1-1/3)+(1/3-1/5)....+(1/9-1/11)]
=1/2*[1-1/11]
=5/11

简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
==1/2*[(1/1-1/3)+(1/3-1/5)....+(1/9-1/11)]
=1/2*[1-1/11]
=5/11