Abstract
AbstractWe give a collection of 16 examples which show that compositions $$g\circ f$$
g
∘
f
of well-behaved functions $$f$$
f
and $$g$$
g
can be badly behaved. Remarkably, in 10 of the 16 examples it suffices to take as outer function $$g$$
g
simply a power-type or characteristic function. Such a collection of examples may serve as a source of exercises for a calculus course.
Funder
Julius-Maximilians-Universität Würzburg
Publisher
Springer Science and Business Media LLC
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