Question

b) For each of the sequences below, decide whether it converges and, if it does, state its limit. Justify your answers briefly.
(i) an =6n^4 +2n^3/7n− 11n4(n =1,2,3,...)
(ii) bn =3 − 3^n/7(0.9)^n + 8 (n=1,2,3,...)