In this session, we discuss some important monotone sequences and later some important limits which are often needed in analysis. This episode is a "must watch" for anybody to get acquainted with the tricks of analysis. It will help you overcome the fear of estimates and inequalities! We shall discuss some more important limits in the next episode.
Timestamp provided by Unskilled Shots
00:00 Start
00:47 Review of earlier results
05:30 Convergence of 1+r+r2+ ...+rn when r is between 0 and 1
07:50 Sequence converging to the Euler Number e
12:00 Another sequence converging to the Euler Number
25:35 Sequence converging to the square root of a positive real number
44:00 Some important limits