1/x(x+1) + 1/(x+1)(x+2) + 1/(x+2)(x+3)+…… + 1/(x+1998)(x+199

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/07/06 00:39:18

1/x(x+1) + 1/(x+1)(x+2) + 1/(x+2)(x+3)+…… + 1/(x+1998)(x+1999)(写出计算过

1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+1998)(x+1999)
=1/x-1/(x+1) + 1/(x+1)-1/(x+2)+……+1/(x+1998)-1/(x+1999)
=1/x-1/(x+1999)
=1999/x(x+1999)
用裂项相消

x-1)(X-2)(x-3)...(x-50)+x(x-2)(X-3)...(X-50)+...+x(x-1)(x-2) x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4 x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x 化简：1+x+x(1+x)+x(1+x)^2+……+x(1+x)^2006 1+x+x^2+x^3+.+x^99+x^100 1X+2X+3X…+98X+99X+100X=50500X X等于多少? 1x+2x+3x+4x+5x+6x+7x…+99x=100 |X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10| {2X+1}+{X} x^2-|x|+1 ｜x-1｜+｜x-2｜若x+x^2+x^3=-1 则x^2012+x^2011+x^2010+x^2009+…………+x^3+x^2+x+1=