Let $f_n$ be a sequence of continuous function such that $f_n \rightarrow f$ uniformly on compact sets. In addition both $f_n$ and $f$ are continuous. Then do we have $f^{-1}_n \rightarrow f^{-1}$ pointwise? If so do we have uniform convergence?
2026-02-24 08:52:43.1771923163
uniform convergence and convergence of inverse function
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