(1-1/2)×(2-2/3)×(3-3/4)×(4-4/5)×(5-5/6)×(6-6/7)×(7-7/8)×(8-8/9)×(9-9/10)等于多少??

来源：百度知道编辑：UC知道时间：2024/06/05 08:33:15

要过程的!!

1×2×3×4×5×6×7×8×9×10×1/2×2/3×3/4×4/5×5/6×6/7×7/8×8/9×9/10=1×2×3×4×5×6×7×8×9

1*2-1 2*3-2 3*4-3 4*5-4 9*10-10
= ----- × ----- × ----- × ----- ×....× -------
2 3 4 5 10

1 2*2 3*3 4*4 9 *9
= ----- × ----- × ----- × ----- ×....× -------
2 3 4 5 10

(约得)
2×3×4×5×6×7×8×9
= ----------------------
10

=3×4×6×7×8×9

=36288

1/2-1/2=? (1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8) (1-1/2^2)*(1-1/3^2)*(1-1/4^2).......(1-1/100^2) 1+1/(1+2)+1/(1+2+3)+...+1/(1+2+3+...+100) 1+1/(1+2)+1/(1+2+3)+-------+1/(1+2+3+----+100) 1+1/1+2+1/1+2+3+...+1/1+2+3...+2000 1+1/1+2+1/1+2+3.........+1/1+2+3.....100 1*(1/1+2)*(1/1+2+3)*~~~*(1/1+2+~~~2005)=? 3/2=2+1/1*2=1/1+1/2 1/1^2+1/2^2+...+1/n^2<2