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What is Counterexamples in Function Sequences about?

This document provides counterexamples to show that: 1) A sequence of bounded functions can converge to an unbounded function. 2) A sequence of continuous functions can converge to a discontinuous function. 3) The limits of sequences of terms and the pointwise limit of functions may not exist. 4) The limits of sequences of terms and the pointwise limit, if they exist, may not be equal. 5) A sequence of integrable functions can converge to a non-integrable function. 6) The limit of integrals of fun

Author

Fazal Karim

Language

EN