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X(1+1/2+1/3+1/4+..+1/2014)=2014-1/2-2/3-3/4-...-2013/2014

Răspuns :

2014-1+1/2-1+1/3-1+1/4-,,,,,,,-1+1/2014=2014-2013+1/2+1/3+1/4+.....1/2014  =1+1/2+1/3+1/4+.....1/2014=>X=1