Hyberbolics

Calculus Level 5

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

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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