We know that the composition of continuous fonctions is continuous, but we don't have an analogous property for the limit of composite functions. Is there anyone that could explicitly explain why this is not true in general? I have already found a counterexample, but I can't explain why this property is not true in general.
2026-03-29 12:41:10.1774788070
Composition of continuous fonctions VS Limit of composite functions
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