Since the limit of the function goes to infinity, it is found that the sequence diverges.
What is the sequence?
The sequence is 3+9+27+81, that is, the sum of the powers of 3, hence:
[tex]\sum_{n = 1}^{\infty} 3^n[/tex]
Applying the limit test, we have that:
[tex]\lim_{n \rightarrow \infty} 3^n = 3^{\infty} = \infty[/tex]
Hence, since the limit of the function goes to infinity, it is found that the sequence diverges.
More can be learned about diverging sequences at https://brainly.com/question/12570172
