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SinIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > SinIntegral[z] > Operations > Limit operation





http://functions.wolfram.com/06.37.25.0001.01









  


  










Input Form





Limit[SinIntegral[a + b x], x -> Infinity] == Piecewise[{{Pi/2, Arg[b] == 0}, {-(Pi/2), Arg[b] == Pi}, {I Infinity, Abs[Arg[a]] == Pi/2 && Arg[b] == Pi/2}, {(-I) Infinity, Abs[Arg[a]] == Pi/2 && Arg[b] == -(Pi/2)}}, ComplexInfinity]










Standard Form





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MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <munder> <mi> lim </mi> <mrow> <mi> x </mi> <semantics> <mo> &#8594; </mo> <annotation encoding='Mathematica'> &quot;\[Rule]&quot; </annotation> </semantics> <mi> &#8734; </mi> </mrow> </munder> <mo> &#8290; </mo> <mtext> &#8201; </mtext> <mrow> <mi> Si </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> a </mi> <mo> + </mo> <mrow> <mi> b </mi> <mo> &#8290; </mo> <mi> x </mi> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> &#63449; </mo> <mrow> <mo> &#62305; </mo> <mtable> <mtr> <mtd> <mfrac> <mi> &#960; </mi> <mn> 2 </mn> </mfrac> </mtd> <mtd> <mrow> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> b </mi> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mn> 0 </mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo> - </mo> <mfrac> <mi> &#960; </mi> <mn> 2 </mn> </mfrac> </mrow> </mtd> <mtd> <mrow> <mrow> <mi> arg </mi> <mo> &#8289; 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Rule Form





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





2007-05-02





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