aₙ= 8n/12n+3
For the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter 'infinity' if it diverges to [infinity], '-infinity' if it diverges to −[infinity] or 'DNE' otherwise.
(a) The series ∑ ₙ₌₁[infinity] 8n/12n+3
. (b) The sequence { 8n/12n+3}.