Determine Whether the Sequence Defined By $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$ converges or diverges. If it converges, find its limit. Select the correct answer.

A) $\frac { 1 } { 6 }$
B) $- 5$
C) $- \frac { 5 } { 6 }$
D) Diverges