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 Power

 http://functions.wolfram.com/01.02.06.0048.01

 Input Form

 1/z \[Proportional] 1 + (z - 1)^2 - (z - 1)^3 + \[Ellipsis] /; (z -> 1)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[FractionBox["1", "z"], "\[Proportional]", RowBox[List["1", "+", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", "1"]], ")"]], "2"], "-", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", "1"]], ")"]], "3"], "+", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "1"]], ")"]]]]]]

 MathML Form

 1 z 1 + ( z - 1 ) 2 - ( z - 1 ) 3 + /; ( z "\[Rule]" 1 ) Condition Proportional 1 z -1 1 z -1 2 -1 z -1 3 Rule z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox["1", "z_"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["1", "+", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", "1"]], ")"]], "2"], "-", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", "1"]], ")"]], "3"], "+", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "1"]], ")"]]]]]]]]

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

 2007-05-02