黑坑飞鱼技巧:(1-1/2^2)(1-1/3^2)....(1-1/10^2)
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一步一步,为什么
(1-1/2^2)(1-1/3^2)....(1-1/10^2)
=(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×....×(1+1/10)×(1-1/10)
=3/2×1/2×4/3×2/3×....×11/10×9/10
=1/2×11/10
=11/20
(1-1/2^2)(1-1/3^2)....(1-1/10^2)
=1/2*3/2*2/3*4/3.......9/10*11/10
=1/2*11/10
=11/20
lim[(1-1/4)(1-1/9)...(1-1/(n+1)^2]=?
1/1+1/2+1/3+1/4+。。。。+1/N 是多少
(1+1/2)(1+1/2 2次)(1+1/2 4次)(1+1/2 8次)+1/2 15次
199*(1-2/1)*(-3/1)*(-4/1)*.........*(1-199-/1)=?
1/1*2+1/2*3+1/3*4+...+1/2000*2001
1/(1*2)+1/(2*3)+1/(3*4)+..+1/(99*100)
s=1/1+1/1!+1/2!+1/3!+1/4!+....+1/25!
1+(1/1+2)+(1/1+2+3)+(1/1+2+3+4)...(1/1+2+3+4+...+10)
(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)---(1+1/2004)(1-1/2004)
(1+1/2)x(1-1/2x(1+1/3)x(1-1/3)x(1+1/4)x(1-1/4).......(1+1/99)x(1-1/99)=??