# To infinity and below

Algebra Level 3

$\large \sum_{k=2}^\infty \left [\exp_2 \left(-2 + \left(\sum_{i=1}^\infty \dfrac1{k^i} \right)^{-1} \right) \right]^{-1} = \, ?$

Notation: $$\exp_A (B)$$ denotes the exponential function $$A^B$$.

×