Do the Following Sequences Converge or Diverge? If They Converge $\left\{\frac{5 n}{2 n+1}\right\}$

Essay

Do the following sequences converge or diverge? If they converge, state the limit.
(a) $\left\{\frac{5 n}{2 n+1}\right\}$
(b) $\left\{\frac{n^{3}+1}{2 n+1}\right\}$
(c) $\left\{\frac{3 n^{3}}{4 n^{5}+1}\right\}$