Determine the Limit of the Sequence $a _ { n } = \frac { n ! } { ( n + 3 ) ! }$

Multiple Choice

Determine the limit of the sequence $a _ { n } = \frac { n ! } { ( n + 3 ) ! }$ .

A) 0
B) 1
C) 2
D) $e$
E) 3
F) $\frac { 1 } { 2 }$
G) $\frac { 1 } { 3 }$
H) Divergent