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AJUTOR!!(luni 14:11:2016)

1 1 1 2010
_____+ ____ + ····· + ____ = _____
1·2 2·3 x(x+1) 2011
Urgență(pune notă)

Răspuns :

Renatemambouko
1/1*2 +1/2*3+....+1/x(x+1)=2010/2011
1/1*2=1/1-1/2
1/2*3=1/2-1/3
1/x(x+1)=1/x -1/(x+1)
1/1-1/2+1/2-1/3+....+1/x-1/(x+1)=2010/2011
1-1/(x+1)=2010/2011
(x+1-1)/(x+1)=2010/2011
x/(x+1)=2010/2011
x=2010




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