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Cel mai inteligent răspuns!
2014-07-31T12:21:24+03:00
N= 1/(1*2) + 1/(2*3) +.....+1/(2007*2008)

1/(1*2)= 1/1 -1/2
1/(2*3)= 1/2 -1/3
1/(3*4)= 1/3 -1/4
............................................
1/(2006*2007)= 1/2006 -1/2007
1/(2007*2008)= 1/2007- 1/2008

N= 1/1 -1/2008  aducem la acelasi numitor

N=(2008-1)/2008=  2007/2008=  0,999  (partea intreaga este 0)

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