数学题在线解答1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)（x+4)+.+1/(x+99)

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/10/01 20:01:42

数学题在线解答1/(x+1)*(x+2)+1/(x+2)*(x+3)+1/(x+3)*（x+4)+.+1/(x+99)*(x+100)
当x=5时，求代数式的值。

1/(x+1)*(x+2)+1/(x+2)*(x+3)+1/(x+3)*（x+4)+.+1/(x+99)*(x+100)
=1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+.+1/(x+99)-1/(x+100)
=1/(x+1)-1/(x+100)
=99/ (x+1)(x+100)
x=5时
原式=99/(6*105)
=11/70

数学题在线解答1/(x+1)*(x+2)+1/(x+2)*(x+3)+1/(x+3)*（x+4)+.+1/(x+99)* 数学题（x-1)(x-3)(x+4) 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 1+x+x^2+x^3+.+x^99+x^100 初一数学题在线解答(1-2)x(2-3)···x(2009-2010)怎没写一道数学题：1/x-1+1/(x-1)(x-2)+1/(x-2)(x-3)+.+1/(x-99)(x-100) |X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10| x-1)(X-2)(x-3)...(x-50)+x(x-2)(X-3)...(X-50)+...+x(x-1)(x-2) x(2-1/x)+x/(x^2-2x)÷(3-x)/(x^2-4) 分解公因式(1+X)+X(1+X)+X(1+X)^2+X(1+X)^3+...+X(1+X)^99 1x+2x+3x+4x+5x+6x+7x…+99x=100