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 Sqrt

 http://functions.wolfram.com/01.01.06.0001.01

 Input Form

 Sqrt[1 + z] \[Proportional] 1 + (1/2) z - (1/8) z^2 + (1/16) z^3 - \[Ellipsis] /; (z -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SqrtBox[RowBox[List["1", "+", "z"]]], "\[Proportional]", RowBox[List["1", "+", RowBox[List[FractionBox["1", "2"], " ", "z"]], "-", RowBox[List[FractionBox["1", "8"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[FractionBox["1", "16"], " ", SuperscriptBox["z", "3"]]], "-", "\[Ellipsis]"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 1 + z 1 + 1 2 z - 1 8 z 2 + 1 16 z 3 - /; ( z "\[Rule]" 0 ) Condition Proportional 1 z 1 2 1 1 2 z -1 1 8 z 2 1 16 z 3 -1 Rule z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[RowBox[List["1", "+", "z_"]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["1", "+", FractionBox["z", "2"], "-", FractionBox[SuperscriptBox["z", "2"], "8"], "+", FractionBox[SuperscriptBox["z", "3"], "16"], "-", "\[Ellipsis]"]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29

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