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(-10:11)+(-9:11)+.....+(-1:11)+(0:11)+(1:11)+(2:11)+.....+(10:11)+(11:11)=

Răspuns :

(-10:11)+(-9:11)+.....+(-1:11)+(0:11)+(1:11)+(2:11)+.....+(10:11)+(11:11)=
=( -10*1/11) + -9*1/11) +...-1*1/11)+ (1+1/11+2*1/11...+10*1/11)+11*1/11)=
1/11*(-10-9-8-....-1-0) +1/11 *(1+2+3+...11)= -55*1/11 + 1/11 *66= 1/11*(66-55)=11/11=1