An infinite function is asked an uninfinite question that may hold an infinite answer

Algebra Level 3

$f\left( x \right) =\frac { 1 }{ x } +\frac { 1 }{ { x }^{ 2 } } +\frac { 1 }{ { x }^{ 3 } } +\quad ...$ . Determine $f^{ -1 }\left( 2015 \right)$

\frac { 2016 }{ 2015 }

\frac { 2017 }{ 2016 }

\frac { 2015 }{ 2014 }

0 1

\infty