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http://functions.wolfram.com/02.13.16.0007.01
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DirectedInfinity[z/Abs[z]] == DirectedInfinity[z]
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Cell[BoxData[RowBox[List[RowBox[List["DirectedInfinity", "[", FractionBox["z", RowBox[List["Abs", "[", "z", "]"]]], "]"]], "\[Equal]", RowBox[List["DirectedInfinity", "[", "z", "]"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mfrac> <mi> z </mi> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mi> z </mi> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> </mfrac> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> <mo> ⩵ </mo> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <apply> <times /> <ci> z </ci> <apply> <power /> <apply> <abs /> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <infinity /> </apply> <apply> <times /> <ci> z </ci> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DirectedInfinity", "[", FractionBox["z_", RowBox[List["Abs", "[", "z_", "]"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["DirectedInfinity", "[", "z", "]"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
