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va rog rezolvarea de la 4​

Va Rog Rezolvarea De La 4 class=

Răspuns :

a/(a+2001) + 2b/(2b+2001) + 3c/(3c+2001) =

= (a+2001-2001)/(a+2001) + (2b+2001-2001)/(2b+2001) + (3c+2001-2001)/(3c+2001) =

= (1 +1+1) - 2001(1/(a+2001)+1/(2b+2001)+1/(3c+2001)) =

= 3 - 2001*3/2002 = (2002*3-2001*3)/2002 = (2002-2001)*3/2002 = 3/2002