\[\large{\sum _{ n=1 }^{ \infty }{ \frac { 2( n+1 ) }{ \left( 2( n-1 ) \right) ! } } }\]

If above sum can be expressed as \(\sinh { \left( A \right) } +B\cosh { \left( C \right) } \) where \(A,B,C\) are integers, find the value of \(A+B+C\).

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