Limits of Functions: Exercises and Definitions

This lecture covers the basics of real function analysis, focusing on the limits of functions. The course aims to provide a rigorous approach to the analysis of real functions of a real variable, including important results and elementary concepts. The lecture includes exercises on determining function domains and calculating limits, emphasizing the use of formal definitions. The slides also introduce series and geometric calculations, showcasing the convergence of series and the manipulation of infinite sums.