Sequences: Convergence and Limits

This lecture covers the concept of sequences, focusing on their convergence and limits. The instructor emphasizes the importance of respecting the distribution of exercise rooms and the use of LaTeX for submitting corrected exercises. The lecture delves into the definition of limits, illustrating the notion of a sequence approaching a number as the index grows. The properties of convergent sequences are discussed, along with the theorem of two gendarmes for bounded sequences. Examples are provided to demonstrate the application of these concepts, highlighting the importance of understanding the behavior of sequences as they tend towards specific values.