# 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 $$A+B+C+2D$$.

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