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An astonishing innovation in the teaching of calculus is the use of the race track principle. This little-known principle is elegantly used in the Calculus and Mathematica (C&M) series of books ([1], [2], [4]) to explain and prove many concepts. Below we present two different versions of this principle and, using Mathematica, we show how it is used to explain the power series expansion of a function and the round-off errors that appear in certain computations.
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