How to graph Taylor series on the Prime

07132021, 02:44 PM
(This post was last modified: 08012021 07:00 AM by C.Ret.)
Post: #6




RE: How to graph Taylor series on the Prime
(07112021 01:06 PM)roadrunner Wrote: These commands will recreate that plot: Thank you for your input ! I was in trouble finding any explaination in the Reference User Manual and was planning using the ptayl function like in this code: EXPORT PLTYR(Fct,x0,a,b,s) // Plot F(X) in slot F0 and taylor polynomials // from order a to b by step of s // // Don't forget to enter function // as single or double quoted expression // 'SIN(X)' or SIN('X') or "SIN(X)" BEGIN //  Start FUNCTION application  STARTAPP("Function"); LOCAL sFct:=REPLACE(STRING(Fct),"X","'X'"); LOCAL k,f; F0:=EXPR(sFct); CHECK(0); UNCHECK({1,2,3,4,5,6,7,8,9}); FOR k FROM a TO b STEP s DO f:=1+(ka)/s; IF 1≤f AND f≤9 THEN EVAL(EXPR("F"+f+":=ptayl("+sFct+","+x0+","+k+")")); CHECK(f) END; END; //  center plot & square zoom  LOCAL h:=XmaxYmin, y0:=F0(x0); // center plot on (x0,y0) coordinates Xmin:=x02*h/3; Xmax:=x0+2*h/3; Ymin:=y0h/2; Ymax:=y0+h/2; STARTVIEW(1); END; //  Alternative Forms Table  // 1 argument : PLTYR('F(X)') EXPORT PLTYR(Fct) BEGIN PLTYR(Fct, 0,1,9,1) END; // 2 arguments: PLTYR('F(X)','x0') EXPORT PLTYR(Fct,x0) BEGIN PLTYR(Fct,x0,1,9,1) END; // 3 arguments: PLTYR('F(X)','x0',u) plot only F(X) and one taylor term of order u EXPORT PLTYR(Fct,x0,m) BEGIN PLTYR(Fct,x0,m,m,1) END; // 4 arguments: PLTYR('F(X)','x0',a,b) plot F(X) and a set taylor curve from order a to b inclusive EXPORT PLTYR(Fct,x0,a,b) BEGIN PLTYR(Fct,x0,a,b,1) END; I am just curious about where did you find the documentation about the 'polynom' option of the TAYLOR function ? Also, is there a way to program the color of the curves for any slot F1 to F0 ? 

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