limit of a sequence real analysis | limit of sequence | bsc msc csir net iit jam

limit of a sequence real analysis | limit of sequence | bsc msc csir net iit jam

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Timestamps:-
0:00 Introduction to the concept of limits in sequences
0:45 Definition of a sequence and its notation
1:30 Intuitive idea of the limit of a sequence
2:15 Formal definition of the limit of a sequence
3:00 Explanation of convergence in sequences
3:40 Example 1: Converging sequence
4:50 Detailed explanation of the example
5:30 Concept of epsilon in limits
6:15 Definition of epsilon-neighborhood
7:00 Graphical interpretation of limits in sequences
7:45 Example 2: Another converging sequence
8:30 Understanding the role of epsilon and N
9:15 Divergence in sequences
10:00 Example 3: Diverging sequence
11:00 Properties of limits in sequences
12:00 Limit theorems and their application
13:15 Example 4: Applying limit theorems
14:45 Recap of the key concepts
16:30 Final remarks and conclusion