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 Sqrt

 http://functions.wolfram.com/01.01.04.0012.01

 Input Form

 Limit[Sqrt[x - I \[Epsilon]], \[Epsilon] -> Plus[0]] == (-I) Sqrt[Abs[x]] /; x < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[SqrtBox[RowBox[List["x", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]"]]]]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", " ", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", SqrtBox[RowBox[List["Abs", "[", "x", "]"]]]]]]], "/;", " ", RowBox[List["x", "<", "0"]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 x - ϵ - "\[LeftBracketingBar]" x "\[RightBracketingBar]" /; x < 0 Condition ϵ ϵ 0 x -1 ϵ 1 2 -1 x 1 2 x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[SqrtBox[RowBox[List["x_", "-", RowBox[List["\[ImaginaryI]", " ", "\[Epsilon]_"]]]]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", SqrtBox[RowBox[List["Abs", "[", "x", "]"]]]]], "/;", RowBox[List["x", "<", "0"]]]]]]]]

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

 2007-05-02