This is the 5th in the series. We look at some more important limits and then start with subsequences. We carefully define a subsequence and its convergence. It starts from 00:45:12.
00:00 Start
00:47 Finding pitfalls in a proof
06:25 Review of earlier results
09:45 Convergence of the sequence (n-th root of a) where a is positive
21:46 Convergence of the sequence (n-th root of n)
27:38 Convergence of the sequence (a raised to power n) / (n!)
45:27 Definition of subsequences
55:28 Convergence of subsequence
1:00:20 Examples of Subsequences
1:02:11 Any subsequence of a convergent sequence converges to the same limit
