Find the Limit of the Sequence $a _ { n } = \left( n + e ^ { n } \right) ^ { 1 / n }$

Multiple Choice

Find the limit of the sequence $a _ { n } = \left( n + e ^ { n } \right) ^ { 1 / n }$ .

A) 1
B) 2
C) $e$
D) $1 + e$
E) -1
F) 3
G) Divergent