The positive integer that illustrates that there's convergence is k ≥ 2n.
It should be noted that an integer simply means a whole number that can be positive, negative or zero.
From the complete question, the convergence of the series is calculated below:
= lim |(n + 1)²| / |k(n + 1)|
= lim |(n + 1)/k|
Therefore, the series will be convergent if k ≥ 2n since k = 2n.
Learn more about integers on:
https://brainly.com/question/17695139
