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→Limits of Multivariate Functions: Link to fuller explanation of the epsilon/delta stuff.
=Limits of Multivariate Functions=
=Limits of Multivariate Functions=
::::See also: [[Limit (mathematics)]].
The limit of a multivariate function <math>\lim_{(x,y)\rightarrow(x_0,y_0)} f(x,y) \ </math> is almost identical to the single-variable limit in concept, but complicated by the realization that ''(x,y)'' can approach the target point from any direction, not just the left or right hand sides.
The limit of a multivariate function <math>\lim_{(x,y)\rightarrow(x_0,y_0)} f(x,y) \ </math> is almost identical to the single-variable limit in concept, but complicated by the realization that ''(x,y)'' can approach the target point from any direction, not just the left or right hand sides.