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 Factorial

 http://functions.wolfram.com/06.01.29.0002.01

 Input Form

 n! <= (n + 1)^(n + 1)/E^n /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["n", "!"]], "\[LessEqual]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["n", "+", "1"]], ")"]], RowBox[List["n", "+", "1"]]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", "n"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 n ! ( n + 1 ) n + 1 - n /; n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] Condition n n 1 n 1 -1 n n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["n", "!"]], "\[LessEqual]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["n", "+", "1"]], ")"]], RowBox[List["n", "+", "1"]]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", "n"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

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

 2001-10-29