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

\[\mathbf{log}\left( \frac{\mathbf{1}}{\mathbf{2}} \right)\mathbf{+log

1.	\[\mathbf{log}\left( \frac{\mathbf{1}}{\mathbf{2}} \right)\mathbf{+log}\left( \frac{\mathbf{2}}{\mathbf{3}} \right)\mathbf{+log}\left( \frac{\mathbf{3}}{\mathbf{4}} \right)......\mathbf{+log}\left( \frac{\mathbf{999}}{\mathbf{1000}} \right)\]
A.	-3
B.	-2
C.	-1
D.	0
E.	None of these
Answer» B. -2

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

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