Convergence of Functions
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Let (fn) be a sequence of functions converging to some function f. Here are a few questions we are interested in.
If the fn are continuous, is f continuous?
If the fn are differentiable, is f differentiable?
- W. Feller, An Introduction to Probability Theory and Its Applications, vol. II, 2nd edn. (Wiley, New York, 1971)Google Scholar
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