Odd - Even?
Calculus
Level
3
Suppose that
\[ A = \sum_{i=0}^\infty \left( \frac{1}{ 2i+1} - \frac{1} { 2i + 2 } \right). \]
What is the value of
\[ \sum_{i=0}^\infty \left(\frac{ 1 } { 4i+1} + \frac{1}{ 4i+3} - \frac{1}{2i+2} \right)? \]
by
Calvin Lin