question_answer

\[\mathbf{log}\left( \frac{\mathbf{1}}{\mathbf{2}} \right)\mathbf{+log}\left( \frac{\mathbf{2}}{\mathbf{3}} \right)\mathbf{+log}\left( \frac{\mathbf{3}}{\mathbf{4}} \right)......\mathbf{+log}\left( \frac{\mathbf{999}}{\mathbf{1000}} \right)\]    

A) -3                    

B) -2          

C) -1                                                        

D) 0

E) None of these