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From: <noreply@so...>  20021027 20:40:38

Bugs item #629539, was opened at 20021027 14:40 You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=629539&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Barton Willis (willisb) Assigned to: Nobody/Anonymous (nobody) Summary: taylor(x + sqrt(1+x^2),x,a,2) Initial Comment: (C1) display2d : false; (D1) FALSE (C2) p : x + sqrt(1+x^2); (D2) SQRT(x^2+1)+x With ratfac true, Maxima finds the Taylor polynomial of p centered at a with no problem (C3) ratfac : true; (D3) TRUE (C4) taylor(p,x,a,2); (D4) SQRT(a^2+1)+a+(a^2+SQRT(a^2+1)*a+1)*(xa)/(a^2+1) +(xa)^2/(2*SQRT(a^2+1)*(a^2+1)) But setting ratfac to false, we get an error (C5) ratfac : false; (D5) FALSE (C6) taylor(p,x,a,2); Quotient by a polynomial of higher degree  an error. Quitting. To debug this try DEBUGMODE(TRUE);) (C7) This same bug may be responsible for the bug (C11) taylor(asin(x),x,a,2), ratfac : false; Quotient by a polynomial of higher degree  an error. Quitting. To debug this try DEBUGMODE(TRUE);) (C12) taylor(asin(x),x,a,2), ratfac : true; Is (a1)*(a+1) positive, negative, or zero? neg; (D12) ATAN2(a,SQRT(1a^2))(a^2+SQRT(a^21)*a1)*%I*(xa) /((a+SQRT(a^21))*(a^21)) +(2*a^3+2*SQRT(a^21)*a^22*aSQRT(a^21))*%I*a *(xa)^2 /(2*(a+SQRT(a^21))^2*(a^21)^2) (C13)  You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=629539&group_id=4933 