(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……接着上面:×(1-1/2000)×(1+1/2000)
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(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……接着上面:×(1-1/2000)×(1+1/2000)(1-1/2)×(1+1/2)×(1-1/3)
(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……接着上面:×(1-1/2000)×(1+1/2000)
(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……
接着上面:×(1-1/2000)×(1+1/2000)
(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)×……接着上面:×(1-1/2000)×(1+1/2000)
原式
=1/2x3/2x2/3x4/3x3/4x……x1999/2000x2001/2000
=1/2x(3/2x2/3x4/3x3/4x……x1999/2000)x2001/2000
=1/2x2001/2000
=2001/4000
(1/1000-1)×(1/999-1)×(1/998-1)×...×(1/2-1)
(1/50-1)*(1/49-1)*(1/48-1)*.*(1/2-1)
200*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/100)
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
(1-2/1)*(1-3/1)*(1-4/1)*.*(1-2007/1)*(1-2008/1)
(1/2014-1)(1/2013-1)(1-2012-1)...(1/3-1)(1/2-1)
(1+1/2)(1+1/2^2)(1+1/2^4)^(1+1/2^32)
(1-1/2^2)(1-1/3^2)K(1-1/10^2)
(1-1/2^2)(1-1/3^2)K(1-1/10^2)
(1/2+1/3+...+1/2004)(1+1/2+1/3+...+1/2003)-(1+1/2+1/3+...+1/2004)(1/2+1/3+...+1/2003)
2000*(1-1/2*)*(1-1/3)*...*(1-1999)*(1-1/2000)
2000*(1-1/2)*(1-1/3)*.*(1-1/1999)*(1-1/2000)
(1-1/2004)(1-2003)(1-2002)…(1-1/3)(1-1/2)
(1-1/2)(1-1/3)(1-1/4).(1-1/100)
计算:(-1)-[1-(1-1/2*1/3)]*6
计算!(-1)-[1-(1-1/2*1/3)]*6
(1+2/1)(1+4/1)(1+6/1).(1+10/)(1-3/1)(1—5/1).(1-9/1)
计算 ( 1+1/2)*(1-1/3)*(1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001)