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 ArcTan

 http://functions.wolfram.com/01.14.04.0012.01

 Input Form

 Limit[ArcTan[x - \[Epsilon]], \[Epsilon] -> Plus[0]] == ArcTan[x] - Pi /; I x < -1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["ArcTan", "[", RowBox[List["x", "-", "\[Epsilon]"]], "]"]], ",", RowBox[List["\[Epsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "\[Equal]", " ", RowBox[List[RowBox[List["ArcTan", "[", "x", "]"]], "-", "\[Pi]"]]]], "/;", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "x"]], "<", RowBox[List["-", "1"]]]]]]]]

 MathML Form

 lim ϵ "\[Rule]" + 0 tan - 1 ( x - ϵ ) tan - 1 ( x ) - π /; x < - 1 Condition ϵ ϵ 0 x -1 ϵ x -1 x -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["ArcTan", "[", RowBox[List["x_", "-", "\[Epsilon]_"]], "]"]], ",", RowBox[List["\[Epsilon]_", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["ArcTan", "[", "x", "]"]], "-", "\[Pi]"]], "/;", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "x"]], "<", RowBox[List["-", "1"]]]]]]]]]]

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

 2001-10-29