Program: Taylor Series - Texas Instruments TI-86 Manual Book

250
Chapter 19: Applications
The higher-order derivative
values necessary for this
program are calculated
numerically based on the
methods in "Numerical
Differentiation of Analytic
Functions," J. N. Lyness and
C. B. Moler, SIAM Journal of
Numerical Analysis 4 (1967):
202-210.

Program: Taylor Series

When you run this program, you can enter a function and specify the order and center
point. Then the program calculates the Taylor Series approximation for the function and
plots the function you entered. This example shows how to call a program from another
program as a subroutine.
Before you enter the program
Name= prompt, and then enter this brief program to store the Mobius Series. The program
TAYLOR calls this program and runs it as a subroutine.
PROGRAM:MOBIUS
:{1,L1,L1,0,L1,1,L1,0,0,1,L1,0,L1,1,1,0,L1,0,L1,0}¶MSERIES
:Return
Select EDIT from the
program to calculate the Taylor Series.
H is on the
CHAR GREEK
User enters equation function
User enters order
User enters center
TAYLOR , select EDIT
PRGM menu, enter TAYLOR
PROGRAM:TAYLOR
:Func:FnOff
:y14=pEval(TPOLY,xNcenter)
:GrStl(14,2)
:1 L9¶H:.1¶rr
menu
E
:ClLCD
:InpSt "FUNCTION: ",EQ
:St8Eq(EQ,y13)
:Input "ORDER: ",order
:order+1¶dimL TPOLY
:Fill(0,TPOLY)
:Input "CENTER: ",center
:evalF(y13,x,center)¶f0
:f0¶TPOLY(order+1)
from the PRGM menu, enter
at the Name= prompt, and then enter this
MOBIUS at the