Theorem of the Two Gendarmes: Convergence and Limits

This lecture covers the theorem of the two gendarmes, which states that if two sequences converge to the same limit, then a third sequence formed by their sum also converges to that limit. It explores the convergence of sequences, properties of limits, and infinite behaviors such as polynomial, logarithmic, and exponential growth. The instructor demonstrates how to determine the convergence of sequences and discusses the relationship between exponential and power functions in terms of convergence speed.