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 Log

 http://functions.wolfram.com/01.04.06.0001.02

 Input Form

 Log[1 + z] \[Proportional] z - (1/2) z^2 + (1/3) z^3 - \[Ellipsis] /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Log", "[", RowBox[List["1", "+", "z"]], "]"]], "\[Proportional]", RowBox[List["z", "-", RowBox[List[FractionBox["1", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[FractionBox["1", "3"], " ", SuperscriptBox["z", "3"]]], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 log ( 1 + z ) z - z 2 2 + z 3 3 - /; ( z "\[Rule]" 0 ) Condition Proportional 1 z z -1 z 2 2 -1 z 3 3 -1 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", RowBox[List["1", "+", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", "-", FractionBox[SuperscriptBox["z", "2"], "2"], "+", FractionBox[SuperscriptBox["z", "3"], "3"], "-", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29