Determine if the following series are absolutely convergent or divergent.

a$){\displaystyle \underset{n=1}{\overset{}{}}}\frac{n+cosn}{n^3+1}$

b$){\displaystyle \underset{n=0}{\overset{}{}}}\frac{2*5*8...(3n+2)}{1*3*5*...(2n+1)}$