Find the Limit of the Sequence $\frac { 1 } { n } \left( n + \frac { 1 } { n } \left[ \frac { n ( n + 3 ) } { 4 } \right] \right)$

Multiple Choice

Find the limit of the sequence.
$\frac { 1 } { n } \left( n + \frac { 1 } { n } \left[ \frac { n ( n + 3 ) } { 4 } \right] \right)$

A) $\frac { 4 } { 5 }$
B) $\frac { 5 } { 4 }$
C) 3
D) 4
E) does not exist