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 Pi

 http://functions.wolfram.com/02.03.08.0007.01

 Input Form

 2/Pi == Limit[Product[(1/2) Nest[Sqrt[2 + #1] & , 0, k], {k, 1, n}], n -> Infinity]

 Standard Form

 Cell[BoxData[RowBox[List[FractionBox["2", "\[Pi]"], "\[Equal]", RowBox[List["Limit", "[", RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "n"], RowBox[List[FractionBox["1", "2"], RowBox[List["Nest", "[", RowBox[List[RowBox[List[SqrtBox[RowBox[List["2", "+", "#"]]], "&"]], ",", "0", ",", "k"]], "]"]]]]]], ",", RowBox[List["n", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]]

 MathML Form

 2 π lim n "\[Rule]" k = 1 n 1 2 Nest [ 2 + #1 & , 0 , k ] 2 -1 n n k 1 n 1 2 Nest Function 2 Slot 1 1 2 0 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox["2", "\[Pi]"], "]"]], "\[RuleDelayed]", RowBox[List["Limit", "[", RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "n"], RowBox[List[FractionBox["1", "2"], " ", RowBox[List["Nest", "[", RowBox[List[RowBox[List[SqrtBox[RowBox[List["2", "+", "#1"]]], "&"]], ",", "0", ",", "k"]], "]"]]]]]], ",", RowBox[List["n", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]]

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

 2001-10-29