question_answer

\[log\left( \frac{1}{2} \right)+log\left( \frac{2}{3} \right)+log\left( \frac{3}{4} \right)+......+log\left( \frac{999}{10000} \right)\text{= }\!\!\_\!\!\text{  }\!\!\_\!\!\text{  }\!\!\_\!\!\text{  }\!\!\_\!\!\text{  }\!\!\_\!\!\text{  }\!\!\_\!\!\text{ }\text{.}\]

A)  \[-3\]      

B)  \[-1\]            

C)  0                                

D)  2