(1+2/1)(1+3/1)(1+4/1)...(1+1/2010)(1/2-1)(1/3-1)(1/4-1)...(1
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(1+2/1)(1+3/1)(1+4/1)...(1+1/2010)(1/2-1)(1/3-1)(1/4-1)...(1/2011)-1
小朋友题目打错了吧.
(1+1/2)(1+1/3)(1+1/4)...(1+1/2010)(1/2-1)(1/3-1)(1/4-1)...(1/2011-1)
=(3/2)(4/3).(2011/2010)*(-1/2)(-2/3).(-2010/2011)
=1/2
最后一个等号,你既可以分别算(3/2)(4/3).(2011/2010)=2011/2
(-1/2)(-2/3).(-2010/2011)=1/2011
也可以前后消掉,也就是(3/2)和(-2/3)消.(2011/2010)和(-2010/2011)消,而得到-1正好是2009个,即奇数个,所以最后再乘以留下来的(-1/2)得到结果1/2
(1+1/2)(1+1/3)(1+1/4)...(1+1/2010)(1/2-1)(1/3-1)(1/4-1)...(1/2011-1)
=(3/2)(4/3).(2011/2010)*(-1/2)(-2/3).(-2010/2011)
=1/2
最后一个等号,你既可以分别算(3/2)(4/3).(2011/2010)=2011/2
(-1/2)(-2/3).(-2010/2011)=1/2011
也可以前后消掉,也就是(3/2)和(-2/3)消.(2011/2010)和(-2010/2011)消,而得到-1正好是2009个,即奇数个,所以最后再乘以留下来的(-1/2)得到结果1/2
(1-1/2)(1/3-1)(1-1/4)(1/5-1)``````(1/2009)(11/2010)
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(1-1/2)(1-1/3)(1-1/4).(1-1/99)(1-1/100)等于?
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(1/2012-1)(1/2011-1)(1/2010-1)...(1/3-1)(1/2-1)咋算
(2011/1-1)(2010/1-1)(2009/1-1)…(3/1-1)(2/1-1)
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