(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1/2003-1)(1-1/2004)99999乘2222-3333乘66666

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(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1/2003-1)(1-1/2004)99999乘2222-3333乘66666
(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1/2003-1)(1-1/2004)
99999乘2222-3333乘66666

(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1/2003-1)(1-1/2004)99999乘2222-3333乘66666
(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1/2003-1)(1-1/2004)
=(1-1/2)(-1)(1-1/3)(1-1/4)(-1)(1-1/5)……(-1)(1-1/2003)(1-1/2004)
=(1-1/2)(1-1/3)(1-1/4)(1-1/5)……(1-1/49)(1-1/50) 因为2002个(-1)相乘为1
=(1/2)*(2/3)*(3/4)……*(2002/2003)*(2003/2004)
=1/2004
99999x2222-3333x66666
=11111x1111x3x3x2-11111x1111x3x3x2
=0

200*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/100) (1-2/1)*(1-3/1)*(1-4/1)*.*(1-2007/1)*(1-2008/1) (1-1/2)(1-1/3)(1-1/4).(1-1/100) 计算 ( 1+1/2)*(1-1/3)*(1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001) (1+2/1)(1+4/1)(1+6/1).(1+10/)(1-3/1)(1—5/1).(1-9/1) 1.(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)=2.(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)= (1-1/2)×(1-1/3)×(1-1/4)……×(1-1/2008)计算方法 (-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2008×1/2009) (-1*1/2)+(-1/2*1/3)+(-1/3*1/4).(-1/2012*1/2013) (1/2+1/3+1/4+1/5+1/6+.+1/2013)*(1+1/2+..+1/2012)-(1+1/2+1/3+1/4+...+1/2013)*(1/2+.+1/2012)(1/2+1/3+1/4+1/5+1/6+...+1/2013)*(1+1/2+1/3+1/4...+1/2012)-(1+1/2+1/3+1/4+...+1/2013)*(1/2+1/3+1/4+...+1/2012) 计算:(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1) (1-1/100)(1-1/99)(1-1/98)...(1-1/4)(1-1/3)(1-1/2)求和 (1/100-1)(1/99-1)(1/98-1).(1/4-1)(1/3-1)(1/2-1)等于多少? 100/1-1)(99/1-1)(98/1-1)…(4/1-1)(3/1-1)(2分之1-1) (1-1/2)*(1/3-1)*(1-1/4)*(1/5-1)…(1/2009-1)*(1-1/2010)等于多少 (1-2/1)3/1-1)(1-4/1)(5/1-1)…(2009/1-1)(1-2010/1)等于几? 计算:(1+1/2)×(1-1/3)×(1+1/4)×(1-1/5)×.×(1+1/1000)×(1-1/1001) 计算:(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1-1/2010)(1/2011-1)