${\displaystyle \underset{n=1}{\overset{}{}}}\frac{n^5(x+6{)}^n}{(9^n)(n^{\frac{17}{3}})}$

The series is convergent:

from $x=,$ left end included $($enter Y or N $)$: $$

to $x=,$ right end included $($enter Y or N $)$: $$