The sequence of functions \(f_n:[0,1]\rightarrow\mathbb{R}\) is said to converge pointwise to \(f\), written \(f_n\stackrel{p.w.}{\rightarrow}f\) \((n\rightarrow\infty)\), if for any \(x\in[0,1]\) we have \(\lim_{n\rightarrow\infty}f_n(x)=f(x)\).
John Robin Inston
September 25, 2026
The sequence of functions \(f_n:[0,1]\rightarrow\mathbb{R}\) is said to converge pointwise to \(f\), written \(f_n\stackrel{p.w.}{\rightarrow}f\) \((n\rightarrow\infty)\), if for any \(x\in[0,1]\) we have \(\lim_{n\rightarrow\infty}f_n(x)=f(x)\).