What is the value of
\sum_{n=2}^{255}\frac{\log_{2}\!\left(1+\frac{1}{n}\right)}{\left(\log_{2}n\right)\left(\log_{2}(n+1)\right)}\ ?
Answer Choices:
A. \dfrac{3}{4}
B. 1-\dfrac{1}{\log_{2}255}
C. \dfrac{7}{8}
D. \dfrac{15}{16}
E. 1
What is the value of
Answer Choices:
A. \dfrac{3}{4}
B. 1-\dfrac{1}{\log_{2}255}
C. \dfrac{7}{8}
D. \dfrac{15}{16}
E. 1