Mathematical Analysis I pp 409-426 | Cite as

# Functions of Several Variables: Their Limits and Continuity

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## Abstract

Many quantities of interest depend on not just one, but many factors, and if the quantity itself and each of the factors that determine it can be characterized by some number, then this dependence reduces to the fact that a value of the quantity in question is a *function of several* (*sometime of many*) *variables*.

The notions of *limit* and *continuity* of a function, already considered above, are generalized now to function of several variables, as well as the main general properties of limit and continuity of such functions.

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