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 ArcSin

 http://functions.wolfram.com/01.12.04.0011.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29