# Inspired by Brian Charlesworth!

Calculus Level 5

$\large \sum_{n=0}^\infty \dfrac1{2^n\left(n+\frac14\right)}$

If the summation above equals to $$2^x( \tan^{-1} (\sqrt y) + \tanh^{-1} (\sqrt z))$$, find the value of $$\dfrac{2 \times x}{y\times z}$$.

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