(1-1/2)x(1-1/3)x(1-1/4)x.x(1-1/99)x(1-1/100)
=1/2*2/3*3/4*.*99/100 (内部全部抵消)
=1/100
(1-1/2)x(1-1/3)x(1-1/4)x...x(1-1/9)x(1-1/10)
1个回答
相关问题
-
-1/1x2-1/2x3-1/3x4-.-1/9x10
-
1/1*2x+1/2*3x+1/3*4x+1/4*5x+1/6*7x+1/7*8x+1/8*9x+1/9*10x=1/1
-
计算：1/1x2+1/2x3+1/3X4+...+1/9x10=?
-
1/2x3+1/3x4+1/4x5.+1/9x10
-
如果1/2*3=1/2x1/3x1/4,1/7/*4=1/7x1/8x1/9x1/10那么(1/2*4)+(1/3*3)
-
计算：1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)
-
解方程：[1/x+10+1(x+1)(x+2)+1(x+2)(x+3)]+…+[1(x+9)(x+10)
-
解方程:1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)=
-
(1+1/2)X(1-1/2)X（1+1/3）X(1-1/3)X……X（1+1/9）X（1-1/9）=?
-
-2/5X+1=X+1/10 X-1/3-1=X/2+1 3X+1/4-2(X+1)/3=1