An algebra problem by Wildan Bagus W. Hafidz

Algebra Level 3

Let

\[ x=\frac { 3 }{ 1!+2!+3! } +\frac { 4 }{ 2!+3!+4! } +\frac { 5 }{ 3!+4!+5! } +...+\frac { 2017 }{ 2015!+2016!+2017! } \]

Determine the value of \(x+\dfrac 1{2017!} \) and write it in 3 decimal places.

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