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; }

 EulerPhi

 http://functions.wolfram.com/13.06.25.0001.01

 Input Form

 Limit[(1/n^2) Sum[EulerPhi[k], {k, 1, n}], n -> Infinity] == 3/Pi^2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List[FractionBox["1", SuperscriptBox["n", "2"]], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n"], RowBox[List["EulerPhi", "[", "k", "]"]]]]]], ",", RowBox[List["n", "\[Rule]", "\[Infinity]"]]]], "]"]], "\[Equal]", FractionBox["3", SuperscriptBox["\[Pi]", "2"]]]]]]

 MathML Form

 lim n "\[Rule]" 1 n 2 k = 1 n ϕ TagBox["\[Phi]", EulerPhi] ( k ) 3 π 2 n n 1 n 2 -1 k 1 n EulerPhi k 3 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[FractionBox[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "n_"], RowBox[List["EulerPhi", "[", "k", "]"]]]], SuperscriptBox["n_", "2"]], ",", RowBox[List["n_", "\[Rule]", "\[Infinity]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox["3", SuperscriptBox["\[Pi]", "2"]]]]]]

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

 2001-10-29