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 Arg

 http://functions.wolfram.com/12.02.04.0008.01

 Input Form

 Limit[Arg[x - I \[Epsilon]], \[Epsilon] -> Plus[0]] == -Pi /; Element[x, Reals] && x < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["Arg", "[", RowBox[List["x", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]"]]]], "]"]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", " ", RowBox[List["-", "\[Pi]"]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", TagBox["Reals", Function[Reals]]]], "\[And]", RowBox[List["x", "<", "0"]]]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 arg ( x - ϵ ) - π /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] x < 0 Condition ϵ ϵ 0 x -1 ϵ -1 x x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["Arg", "[", RowBox[List["x_", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]_"]]]], "]"]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "\[Pi]"]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["x", "<", "0"]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29