Although the limit of a function at a point is one of the most important concepts in mathematics, to prove symbolically its formal definition is a challenging exercise that requires a certain level of ...

Calculus is the study of change. It is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This page is an overview or introduction to calculus. Watch ...

The q-Whittaker function is introduced as a limit at t = 0 of the global q,t-spherical function, which extends the symmetric Macdonald polynomials to arbitrary eigenvalues. The limiting procedure ...

This paper begins with an outline of this epistemological and didactic model, which appears as a useful tool for the analysis of mathematical and teaching practices. It is used to identify the main ...

In this study, I investigated 27 university calculus students' mathematical beliefs and connections between those beliefs and their understandings of limit. Participants were selected on the basis of ...

We show that the iterates of entire functions have maximal sets of limit functions on many small subsets of the corresponding Julia set. This monthly journal, begun in 1950, is devoted entirely to ...