Limits and Continuity for Multivariate Functions
whence lim y!0 f(0;y) = 1: Since lim x!0 f(x;0) 6= lim y!0 f(0;y), the limit lim (x ;y)!(0 0) f(x;y) does not exist. A. Havens Limits and Continuity for Multivariate Functions. De ning Limits of Two Variable functions Case Studies in Two Dimensions Continuity Three or more Variables
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