1/n(n+1) = (n+ 1 - n)/n(n+1) = 1/n - 1/(n+1)
1/1*2 = 1/1 - 1/2
1/2*3 = 1/2 - 1/3
1/999*1000 = 1/999 - 1/1000
1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ..... + 1/998 - 1/999 + 1/999 - 1/1000 = 1 - 1/1000 = 999/1000 = 0.999
ответ Е
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1/n(n+1) = (n+ 1 - n)/n(n+1) = 1/n - 1/(n+1)
1/1*2 = 1/1 - 1/2
1/2*3 = 1/2 - 1/3
1/999*1000 = 1/999 - 1/1000
1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ..... + 1/998 - 1/999 + 1/999 - 1/1000 = 1 - 1/1000 = 999/1000 = 0.999
ответ Е