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 EulerGamma

 http://functions.wolfram.com/02.06.09.0003.01

 Input Form

 EulerGamma == Limit[Sum[k^(-x) - x^(-k), {k, 1, Infinity}], x -> 1, Direction -> -1]

 Standard Form

 Cell[BoxData[RowBox[List["EulerGamma", "\[Equal]", RowBox[List["Limit", "[", RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["(", RowBox[List[SuperscriptBox["k", RowBox[List["-", "x"]]], "-", SuperscriptBox["x", RowBox[List["-", "k"]]]]], ")"]]]], ",", RowBox[List["x", "\[Rule]", "1"]], ",", RowBox[List["Direction", "\[Rule]", RowBox[List["-", "1"]]]]]], "]"]]]]]]

 MathML Form

 TagBox["\[DoubledGamma]", Function[EulerGamma]] lim x "\[Rule]" 1 + ( k = 1 ( k - x - x - k ) ) x x 1 k 1 k -1 x -1 x -1 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "EulerGamma", "]"]], "\[RuleDelayed]", RowBox[List["Limit", "[", RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["(", RowBox[List[SuperscriptBox["k", RowBox[List["-", "x"]]], "-", SuperscriptBox["x", RowBox[List["-", "k"]]]]], ")"]]]], ",", RowBox[List["x", "\[Rule]", "1"]], ",", RowBox[List["Direction", "\[Rule]", RowBox[List["-", "1"]]]]]], "]"]]]]]]

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

 2001-10-29