2_(Continuity)_[Compatibility_Mode].pdf - Multivariable Calculus Function of two variables 3 2.5 Z-axis 2 1.5 1 0.5 0 2 1 2 1 0 0-1 Y-axis-1-2-2 X-axis

# 2_(Continuity)_[Compatibility_Mode].pdf - Multivariable...

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Multivariable Calculus Module – 3 Lecture Class-2 (Continuity) By Dr Hemant Kumar Nashine Department of Mathematics, SAS, VIT Vellore -2 -1 0 1 2 -2 -1 0 1 2 0 0.5 1 1.5 2 2.5 3 X-axis Function of two variables Y-axis Z-axis
Continuity for Functions of Two Variables 27-Aug-19 Dr Hemant K Nashine, Professor 2
Some facts about continuous functions: Algebraic combinations of continuous functions are continuous at every point at which all the functions involved are defined. This means that sums, differences, constant multiples, products, quotients, and powers of continuous functions are continuous where defined. In particular, polynomials and rational functions of two variables are continuous at every point at which they are defined. 27-Aug-19 Dr Hemant K Nashine, Professor 3