Question

Sequences

Answer 1

converges..
limit is 4 as n tends to infinity..

Answer 2

no

Answer 3

in your exprecion make the change 3m = n. then it becomes:\[a _{m} = (1 + 3/3m)^{3m} =[ (1+ 1/m)^{m}]^{3} = e ^{3}\]

Answer 4

i just didnt put the limit signs, you can add them yourself