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Results tagged with real-analysis
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user 542131
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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A Problem using Limits of Sequences of Functions
Suppose $\{f_n\}$ is a sequence of nonnegative extended real-valued functions on $X$ and $\lim_{n\to\infty}f_n=f$. Take a simple function $0\leq\varphi\leq f$. If $X_{\infty}=\{x\in X: \varphi(x)=a>0\ …
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