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=Limits of Multivariate Functions=

=Limits of Multivariate Functions=

::::See also: [[Limit (mathematics)]].

:''See the [[Limit (mathematics)|limit article]].''

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.