TY  - JOUR
A1  - Appell, Jürgen
A1  - Brito, Belén López
A1  - Reinwand, Simon
T1  - Counterexamples on compositions
JF  - Mathematische Semesterberichte
N2  - We give a collection of 16 examples which show that compositions \(g\) \(\circ\) \(f\) of well-behaved functions \(f\) and \(g\) can be badly behaved. Remarkably, in 10 of the 16 examples it suffices to take as outer function \(g\) simply a power-type or characteristic function. Such a collection of examples may serve as a source of exercises for a calculus course.
KW  - composition of functions
KW  - examples and counterexamples
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-324306
SN  - 0720-728X
VL  - 70
IS  - 1
ER  -