Convergence of Functions

  • Rinaldo B. Schinazi


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?


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoColorado SpringsUSA

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