Final answer:
The given series is bounded as the terms converge to 0 as n tends to infinity.
Step-by-step explanation:
The given series is a sum of terms where each term is of the form 1/n^n. The question is whether this series is bounded or not. To determine if it is bounded, we need to analyze the behavior of the terms as n increases.
As n becomes very large, the value of 1/n^n tends to approach 0. This is because the exponent n^n grows much faster than the base 1/n. So, as n gets larger, the terms in the series become smaller and smaller.
Therefore, the series is bounded since the terms converge to 0 as n tends to infinity.