This is the first of a series of lectures on Sequences in R with a live audience. The idea is to give a glimpse of an actual MTTS classroom. This is a part of the initiative of the MTTS Trust, called "Short Courses in Mathematics". I thank the Trust for its support. I thank Dr.Chandrashekaran (CUTN), Dr Sukumar (IITH) and Dr Bhaba Sarma (IITG) for their help in the production of this video.
0:00 Intro
1:19 Background check
3:40 Bounded sequence
5:20 Range of a sequence and comparison
15:01 Converging sequence is bounded
21:21 Further discussion on boundedness
32:00 Absolute values of a converging sequence
41:36 Creative exercise and constructions
54:21 Sandwich Lemma