html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcSech

 http://functions.wolfram.com/01.30.04.0012.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29