(-1+1/100)x(-1+1/101)x(-1+1/102)x...x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)会的赶快答一下啊 写不完完蛋了

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 16:00:14
(-1+1/100)x(-1+1/101)x(-1+1/102)x...x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)会的赶快答一下啊 写不完完蛋了

(-1+1/100)x(-1+1/101)x(-1+1/102)x...x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)会的赶快答一下啊 写不完完蛋了
(-1+1/100)x(-1+1/101)x(-1+1/102)x...x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)
会的赶快答一下啊 写不完完蛋了

(-1+1/100)x(-1+1/101)x(-1+1/102)x...x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)会的赶快答一下啊 写不完完蛋了
=(-99/100)×(-100/101)×(-101/102)×……×(-2011/2012)×(-2012/2013)
=99/2013
=3/61

(-1+1/100)x(-1+1/101)x(-1+1/102)x... x (-1+1/2011) +(-1+1/2012)+(-1+1/2013)
=(-1)的1914次方 ×(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2010)×(1-1/2011)×(1-1/2012)×(1-1/2013)
=(99/100)×(100/101)×(10...

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(-1+1/100)x(-1+1/101)x(-1+1/102)x... x (-1+1/2011) +(-1+1/2012)+(-1+1/2013)
=(-1)的1914次方 ×(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2010)×(1-1/2011)×(1-1/2012)×(1-1/2013)
=(99/100)×(100/101)×(101/102)×...×(2009/2010)×(2010/2011) ×(20011/2012)×(2012/2013) （注：相邻两项分子分母相消）
=99/2013
如果觉得好请采纳下，谢谢！

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答：
2013-100+1=1914项
(-1+1/100)x(-1+1/101)x(-1+1/102)x... x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)
=(-99/100)x(-100/101)x(-101/102)x....x(-2010/2011)x(-2011/2012)x(-2012/2013)
=[(-1)^1914]...

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答：
2013-100+1=1914项
(-1+1/100)x(-1+1/101)x(-1+1/102)x... x (-1+1/2011)+(-1+1/2012)+(-1+1/2013)
=(-99/100)x(-100/101)x(-101/102)x....x(-2010/2011)x(-2011/2012)x(-2012/2013)
=[(-1)^1914]x(99/2013)
=33/671
=3/61
除去第一个分子99和最后一个分母2013外，相邻两项的分子和分母相互抵消

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每项都是负数100~2013 共有偶数项 则 答案为正数
每一项的分母与后一项的分子可以约掉
第一项的分子和最后一项的分母没有项跟他约
答案为99/2013 =33/671=3/61 ~~www

原式=（-99/100）×（-100/101）×（-101/102）×...×(-2010/2011)×(-2011/2012)×(-2012/2013)
因为共有1914个分数，所以是正的
所以原式=99/2013=3/61

1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+...+1/(x+100)(x+101) x(x-1)(x-2)...(x-99)(x-100) x/x+(1-x)/x-1/x x-1分之1+(x-1)(x+2)分之一+……+(x-100)(x-101)分之一 *-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X || 填九宫格帮帮忙.x x 6 x x 7 x x 98 x x x 3 x 1 x x 9 x x 6 x 5 x 3 x x x 3 x x x x 1 8x x x 9 x 1 x x x2 1 x x x x 6 x x x 6 x 7 x 3 x x 1 x x 9 x 2 x x x 47 x x 8 x x 5 x x (x+1)(x-1)(x-x+1)(x+x+1) 七年级下册政治复习提纲(山东人民出版社)第五单元是 青春的脚步 青春的气息别弄错了啊!格式：X X X X X X X X X 1、X X X X X X X X X X.2、X X X X X X X X X.3、X X X X X X X X X X X. 分解因式----（X*X-X)(X*X-X-2)+1 X(X-1)=X 1.1/x|x/(x+1)| x/x-1[1+(x-1/x)] 1/X(X+1)+1/(X+1)(X+2)+1/(X+2)(X+3).+1/(X+99)(X+100)= x-1/x÷(x-1/x) 】x(x+1)+x^2(x-1) 1/(1-x)+1/(1+x)+2/(1+x*x)+4/(1+x*x*x*x)+8/(1-x*x*x*x*x*x*x*x)怎么做 计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+99)(X+100) 求(1--1/100)X(1-1/101)X(1--/102)X...X(1-1/2010).