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1×1/2+1/3+1/4+...+1/2017+1/2+2/3+3/4+...+2016/2017

Răspuns :

(1/2+1/2)+(1/3+2/3)+(1/4+3/4)+...+(1/2017+2016/2017)=
=1+1+1+...+1=2016