Non existence de la limite

This lecture explores an example where the limit does not exist, focusing on the function f of X equals sine of 1 over X. Two techniques are presented to demonstrate the non-existence of the limit, using specific sequences and analyzing the behavior near zero. The instructor illustrates how to choose sequences that lead to diverging values, showcasing the importance of understanding limits through graphical representations. The function sine of 1 over X is revisited as a valuable tool for building intuition and as a counterexample in mathematical analysis.