(1/2+1/3+1/4+1/5+1/6+.+1/2013)*(1+1/2+..+1/2012)-(1+1/2+1/3+
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/22 12:52:17
(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)
(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)
设1/2+1/3+1/4+...+1/2012=A
那么上述式
=(A+1/2013)*(A+1)-(1+A+1/2013)*A
分解后
=A²+(1+1/2013)A+1/2013-A²-(1+1/2013)A
=1/2013
那么上述式
=(A+1/2013)*(A+1)-(1+A+1/2013)*A
分解后
=A²+(1+1/2013)A+1/2013-A²-(1+1/2013)A
=1/2013
(1/2+1/3+1/4+1/5+1/6+.+1/2013)*(1+1/2+..+1/2012)-(1+1/2+1/3+
2010 1/2+(-2011 5/6)+(-2012 2/3)+2013 1/3+(-1 1/2)
1-1/2)×﹙1/3-1﹚×﹙1-1/4﹚×﹙1/5-1﹚.(1-1/2012)×(1/2013-1)
(1/2014-1)(1/2013-1)(1-2012-1)...(1/3-1)(1/2-1)
(-1*2/1)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2012*1/2013)
(1+1/2)*(1+1/4)*(1+1/6)*...*(1+1/2008)*(1-1/3)*(1-1/5)*(1-1/
(2013/1-1)(2012/1-1)(2011/1-1).(3/1-1)(2/1-1)
计算:1/(1*3)+1/(2*4)+1/(3*5)+...+1/(2011*2013)+1/(2012 *2014)
(1+2/1)(1+4/1)(1+6/1).(1+10/)(1-3/1)(1—5/1).(1-9/1)
1/2+1/2×1+1/3×1+1/4×3+.+1/2013×2012
(1)1+1/2+1/3+1/4+1/5+1/6+1/7+1/14+1/28
计算 ( 1+1/2)*(1-1/3)*(1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001)