Labware - MA35 Multivariable Calculus - Three Variable Calculus

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Continuity

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According to the epsilon-delta definition, a function f of three real variables is said to be continuous at (x0,y0,z0)) if for any ε > 0 there exists a &delta such that | f(x,y,z) - f(x0,y0,z0) | < ε whenever | (x,y,z) - (x0,y0,z0) | < &delta.

Demos

Exercises

  • For the function f(x,y,z)= x2+y2-z2, set ε to 0.2, 0.1 and 0.05, respectively. Then for each of these values of ε, use the tapedeck controller to find a corresponding &delta.