Question

Does the sequence (3n)/(1+n) converge? If yes find its limit

Answer 1

I think it diverges.
an when n goes to +inf should be 0 for it to be convergent.
Also, if you try to use D'Alamberts criteria, you get that it's divergent too.

Answer 2

the sequence converges to 3

Answer 3

zarkons answer is right

Answer 4

sorry there was a mistake in the question, the sequence is \[(3n)/(i+n)\] a complex sequence

Answer 5

the limit is still 3

Answer 6

could you prove this sequence converges without the use of limits? i.e. from first principle