Test the series for convergence or divergence.

$(1)$n$$

$(7$n $5)2$n $+5$

n $=1$

Evaluate the following limit$.($If the quantity diverges, enter DIVERGES.$)$

$$lim$$n $$ $(1)$n$$

$(7$n $5)2$n $+5$

$$

Since

lim$$n $$ $(1)$n$$

$(7$n $5)2$n $+5$