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arxiv: 1403.7434 · v1 · pith:5CFQMJKNnew · submitted 2014-03-28 · 🧮 math.HO

Continuity of multivariate rational functions

classification 🧮 math.HO
keywords rationalfunctioncontinuitycriteriondecidedenominatorevenexists
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If the denominator of a rational function of several variables is sum of even powers and the numerator is a monomial, then we give a numerical criterion, using the exponents involved in the expression of the rational function, to decide if the limit at the origin exists or not.

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