est the series for convergence or divergence using the Alternating Series Test.

n $=1$

$(1)$n

$$n$/4$n $+5$

Identify

bn$.$

Evaluate the following limit$.$

lim$$n$$$$bn

Since

lim$$n$$$$bn

$?=0$ and

bn $+1?$n$/$a bn

for all

n $2,---$Select$---$the series converges$$the series diverges$$the test is inconclusive $.$