Are you familiar with this series?

Calculus Level 3

$\large 1 - \dfrac{1}{4} + \dfrac{1}{9} - \dfrac{1}{16} + \cdots = \, ?$

\dfrac{\pi^2}{8}

\ln 2

\dfrac{\pi^2}{24}

\dfrac{\pi^2}{6}

\dfrac{\pi^2}{4}

\dfrac{\pi^2}{12}

None of these