Publisher's Synopsis
Excerpt from First Principles of the Differential and Integral Calculus, and Their Applications, According to the Course of Study of Coopers Hill College
Another good illustration of the meaning of the word limit is given by considering what is meant by saying that a railway train, which may be continually varying its speed, is at any given moment moving at the rate of so many miles per hour. Every one, I believe, has a very clear conception that this is so - that at any one moment the train is going at one particular speed; but if we try to see how this is to be defined we are led at once to that par ticular kind of limit which is called a differential coefficient.
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