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 ArcCos

 http://functions.wolfram.com/01.13.04.0011.01

 Input Form

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

 Standard Form

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

 MathML Form

 lim ϵ "\[Rule]" + 0 cos - 1 ( x - ϵ ) cos - 1 ( x ) /; x > 1 Condition ϵ ϵ 0 x -1 ϵ x x 1 [/itex]

 Rule Form

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

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

 2001-10-29