# A calculus problem by Sandeep Bhardwaj

**Calculus**Level 5

\[\large \color{green}{1-\dfrac{1}{4}+\dfrac{1}{6}-\dfrac{1}{9}+\dfrac{1}{11}-\dfrac{1}{14}+\ldots }\]

If the value of the series above can be represented as \( \frac \pi A \sqrt{B+ C\sqrt D} \) for integers \(A,B,C,D\), find the value of \(A+B+C+2D\).