Determine Whether the Sequence Defined By $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$ converges or diverges. If it converges, find its limit.

A) 1
B) $\frac { 5 } { 8 }$
C) 0
D) Diverges