Geometric Series: Convergence and Limit

This lecture covers the convergence and limit of geometric series, starting with the analysis of the absolute value of the ratio of consecutive terms. The instructor demonstrates the monotonicity and boundedness of the series, leading to the determination of the limit. Through detailed mathematical reasoning and graphical representations, the lecture explores the properties of geometric series and their applications, including the calculation of the number 'e'. The instructor also delves into the concept of indeterminate forms and showcases how various indeterminate expressions can be transformed into preferred forms for easier analysis.