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 EulerGamma

 http://functions.wolfram.com/02.06.09.0015.01

 Input Form

 EulerGamma == Limit[(1/n) Sum[Ceiling[n/k] - n/k, {k, 1, n}], n -> Infinity]

 Standard Form

 Cell[BoxData[RowBox[List["EulerGamma", "\[Equal]", RowBox[List["Limit", "[", RowBox[List[RowBox[List[FractionBox["1", "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List["(", RowBox[List[RowBox[List["Ceiling", "[", FractionBox["n", "k"], "]"]], "-", FractionBox["n", "k"]]], ")"]]]]]], ",", RowBox[List["n", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "EulerGamma", "]"]], "\[RuleDelayed]", RowBox[List["Limit", "[", RowBox[List[FractionBox[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List["(", RowBox[List[RowBox[List["Ceiling", "[", FractionBox["n", "k"], "]"]], "-", FractionBox["n", "k"]]], ")"]]]], "n"], ",", RowBox[List["n", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]]

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

 2007-05-02