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 Tan

 http://functions.wolfram.com/01.08.06.0006.02

 Input Form

 Tan[z] \[Proportional] -(1/(z - Pi/2)) + (1/3) (z - Pi/2) + O[(z - Pi/2)^3]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Tan", "[", "z", "]"]], "\[Proportional]", RowBox[List[RowBox[List["-", FractionBox["1", RowBox[List["z", "-", FractionBox["\[Pi]", "2"]]]]]], "+", RowBox[List[FractionBox["1", "3"], RowBox[List["(", RowBox[List["z", "-", FractionBox["\[Pi]", "2"]]], ")"]]]], "+", RowBox[List["O", "[", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", FractionBox["\[Pi]", "2"]]], ")"]], "3"], "]"]]]]]]]]

 MathML Form

 tan ( z ) - 1 z - π 2 + 1 3 ( z - π 2 ) + O ( ( z - π 2 ) 3 ) Proportional z -1 1 z -1 2 -1 -1 1 3 z -1 2 -1 O z -1 2 -1 3 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tan", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox["1", RowBox[List["z", "-", FractionBox["\[Pi]", "2"]]]]]], "+", RowBox[List[FractionBox["1", "3"], " ", RowBox[List["(", RowBox[List["z", "-", FractionBox["\[Pi]", "2"]]], ")"]]]], "+", SuperscriptBox[RowBox[List["O", "[", RowBox[List["z", "-", FractionBox["\[Pi]", "2"]]], "]"]], "3"]]]]]]]

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

 2001-10-29