Use ''The Limit Comparison Test'' to determine if each of the following series is convergent or divergent.
(a) \(\displaystyle{\sum_{n=1}^{\infty}
\frac{1}{3n+5}}\) solution
(b) \(\displaystyle{\sum_{n=1}^{\infty} \frac{5n^4+2\cdot3^n-1}{2n^4+4^n+2}}\) solution
(c) \(\displaystyle{\sum_{n=1}^{\infty} \frac{n-1}{3n
\sqrt{n}}}\) solution
(d) \(\displaystyle{\sum_{n=1}^{\infty} \frac{2n^2-3n+5}{3n^4+5n^2+4n-3}}\)
solution
(e) \(\displaystyle{\sum_{n=5}^{\infty} \frac{n+6}{(n+3)^{5}}}\)
solution
(f) \(\displaystyle{\sum_{n=1}^{\infty} \frac{7n+3^{n}}{2n+5^{n}}}\)
solution