If The Value Of

\(\displaystyle \sum^{\infty}_{n=0}(\dfrac{1}{3n+1}-\dfrac{1}{3n+2})\) = \(\gamma\)

Then Find \(\lfloor10^4 \gamma\rfloor\).

\(\textbf{Details}\)

\(\lfloor \bullet\rfloor\) Is the Greatest Integer Function

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