Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.2 Partial Derivatives, #49 · Multivariable Calculus · Partial derivatives

_Definition of continuity:_ … is continuous at … if … is defined…

This problem is about limits in two dimensions.

_Definition of continuity:_ $f (x, y)$ is continuous at $(a, b)$ if $f (a, b)$ is defined and $f (x, y)$ approaches the limit $______$ as $(x, y)$ approaches $(a, b)$ . Construct a function that is _not_ continuous at $(1, 2)$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.2 Partial Derivatives, #49

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