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a power series make it possible to reconstruct a As an example, let us consider the series for sinx,. span class=fby John Stillwell - 2002 - Mathematics - 542 pagesspan span class=fFile Format:span PDFAdobe Acrobat - a as HTMLa (a) Addition and subtraction of series, (eg: taylor series for sinx+cosx. (eg: taylor series for sinx*cosx = taylor series for sinx multiplied by taylor. span class=fFile Format:span PDFAdobe Acrobat - a as HTMLa span class=fFile Format:span OF BOUNDS OUT PDFAdobe Acrobat - a as HTMLa span class=fFile Format:span PDFAdobe Acrobat - a as HTMLa Another thought I
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lets put it all in the Taylor series. cos(x) = f (a)(x-a)^00! + f ' (a)(x-a)^11!. span class=fFile Format:span Microsoft Word - a as H Although the proof of Euler's formula through power series is sufficient,... cos 0=1 now inserting this into our above identity sinx= 0 + 1*x + 0*x^22!. span class=fFile Format:span PDFAdobe Acrobat - a as HTMLa In some cases, just a few terms in a power series make it possible
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