Telescoping Problem

\[\large \dfrac1{2015!} + \sum_{k=1}^{2014} \dfrac k{(k+1)!} = \, ? \]

\[\]Notation: \(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).


Source: Indonesian Mathematic Olympiad 2014.
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