Unbounded Positive Sequences

This lecture focuses on finding a sequence (an) that is positive and unbounded, with different definitions such as bounded and unbounded sequences, and limits at infinity. The instructor presents various examples and explains the concepts step by step, including the verification of properties and the search for specific values. The lecture also covers the identification of sub-sequences and the verification of their properties. Throughout the lecture, the instructor emphasizes the importance of understanding the behavior of sequences and their limits, providing a solid foundation for further studies in the field of sequences and series.