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The sum 3/(1!+2!+3!)+4/(2!+3!+4!)+....+(...

The sum `3/(1!+2!+3!)+4/(2!+3!+4!)+....+(2016)/(2014 !+2015 !+2016 !)` is equal to (a) `1/2-1/(2014 !)` (b) `1/2-1/(2016 !)` (c) `1/(2016 !-2018)` (d) `1/(2017 !)-1/(2018 !)`

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