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 \(A+B+C+2D\).


You can try my other sequences and series problems by clicking Part II and Part I.
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