University
Shawnee State University
Major
Mathematics
Student Type
Graduate Student
Presentation Types
Oral Presentation (Recorded)
Keywords:
Convergence, Integration, Limits, Counterexamples
Abstract
We will examine a known counterexample of sequences of functions where interchanging the limits in integrals give different results. We will present several generalizations of this example.
Human and Animal Subjects
no
IRB or IACUC Approval
yes
Faculty Mentor Name
John Whitaker
Faculty Mentor Title
Professor of Mathematics
Faculty Mentor Department
Mathematical Sciences
Recommended Citation
Heater, Ryan, "Counterexamples of Interchanging Limits and Integrals" (2025). Celebration of Scholarship. 2.
https://digitalcommons.shawnee.edu/cos/2025/recorded/2
Counterexamples of Interchanging Limits and Integrals
We will examine a known counterexample of sequences of functions where interchanging the limits in integrals give different results. We will present several generalizations of this example.
