020 Sottosuccessioni e loro limiti. La non esistenza di limiti di funzioni e successioni.

020 Subsequences and their limits. Using sequences and subsequences to show the nonexistence of limits of functions and sequences. 00:00 SUBSUCESSIONS (How to prove that a limit does not exist) 01:19 Exercise 06:55 Examples 10:55 Theorem (Limits of subsequences) 16:16 Classic example 19:20 Fundamental fact 21:08 Example 1 23:12 Example 2 24:13 Example 3 26:21 How to prove that the limit does not exist 28:42 Example 1 31:59 Example 2 35:44 Example 3 37:06 Example 4 41:13 Example 5