搜搜做题作业网化简1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+2009)(x+2010并且当
来源：学生作业帮 编辑：搜搜做题作业网作业帮 分类：数学作业 时间：2024/08/03 14:36:31
化简1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+2009)(x+2010并且当x=1时,该
1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1(x+2009)(x+2010)
=1/x-1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+...+1/(x+2009)-1/(x+2010)
=1/x-1/(x+2010)
故当x=1时,原式=1 -1/2011 =2010/2011
=1/x-1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+...+1/(x+2009)-1/(x+2010)
=1/x-1/(x+2010)
故当x=1时,原式=1 -1/2011 =2010/2011
化简：1+x+x(1+x)+x(1+x)^2+……+x(1+x)^2006
若x+x^2+x^3=-1 则x^2012+x^2011+x^2010+x^2009+…………+x^3+x^2+x+1=
已知x^2+x=-1 你能求x^2013+x^2012+x^2011+x^2010+x^2009+…+x^4+x^3+x
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：x(x^2+x)/x^2(x^2-1)
1+x+x^2+x^3+.+x^99+x^100
化简（X+2)\（X^2+X)+(2X+1)\（X^2+3X+2)-(X-3)\(X^2+2X)
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|