作业帮1/x(x+1)(x+2)+1/(x+1)(x+2)(x+3).+1/(x+98)(x+99)(x+100)=?
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/10 11:12:38
1/x(x+1)(x+2)+1/(x+1)(x+2)(x+3).+1/(x+98)(x+99)(x+100)=?
1/x(x+1)(x+2)+1/(x+1)(x+2)(x+3).+1/(x+98)(x+99)(x+100)
=(1/2){[1/x(x+1) - 1/(x+1)(x+2)] + [1/(x+1)(x+2) - 1/(x+2)(x+3)]+.
+[1/(x+98)(x+99) - 1/(x+99)(x+100)]}
=(1/2){1/x(x+1) - 1/(x+99)(x+100)}
=[(x+99)(x+100) - x(x+1)]/2x(x+1)(x+99)(x+100)
=[198x+9900]/2x(x+1)(x+99)(x+100)
=[99x+4950]/x(x+1)(x+99)(x+100)
=99(x+50)/x(x+1)(x+99)(x+100)
=(1/2){[1/x(x+1) - 1/(x+1)(x+2)] + [1/(x+1)(x+2) - 1/(x+2)(x+3)]+.
+[1/(x+98)(x+99) - 1/(x+99)(x+100)]}
=(1/2){1/x(x+1) - 1/(x+99)(x+100)}
=[(x+99)(x+100) - x(x+1)]/2x(x+1)(x+99)(x+100)
=[198x+9900]/2x(x+1)(x+99)(x+100)
=[99x+4950]/x(x+1)(x+99)(x+100)
=99(x+50)/x(x+1)(x+99)(x+100)
1+x+x^2+x^3+.+x^99+x^100
1X+2X+3X…+98X+99X+100X=50500X X等于多少?
x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x
已知x^4+x^3+x^3+x^2+x^1+1=0,求x^100+x^99+x^98+x^97+x^96的值
1x+2x+3x+4x+5x+6x+7x…+99x=100
解方程：2x+4x+6x...+100x=1-(x+3x+5x+...+99x)
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
解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)
x/x平方-x+2=2x/x+1
1/x(x+1)(x+2)+1/(x+1)(x+2)(x+3).+1/(x+98)(x+99)(x+100)=?
x^4+X^3+X^2+X^1+1=0求x^100+X^99+X^98+X^97+X^96的值