Properties of Exponential Functions

This lecture covers the properties of exponential functions, logarithmic functions, and continuous functions. The instructor explains the concept of limits, continuity, and the relationship between exponential and logarithmic functions. Key topics include the definition of continuity, properties of exponential functions, and the demonstration of important limits such as the limit of exponential functions. The lecture also delves into the properties of logarithmic functions, including their relationship with exponential functions and the concept of continuity at a point. Additionally, the instructor demonstrates how to calculate limits involving exponential and logarithmic functions, emphasizing the importance of understanding these concepts for further mathematical applications.