SERIES - TI 83 Plus

This program evaluates Taylor series of the form $\sum\limits_{K=0}^N$CKXK  or  $\sum\limits_{K=0}^N$CK(X-A)K. It also compares that value to the corresponding function value, f(X).

If you have not used one of the programs posted on this website before, you should read through the information in the Intro to Programming section first.

If you have a TI Connectivity Cable, you can download the program SERIES.8xp

The Program
:Prompt X, N  {Prompt is in PRGM under I/O} {X is the X,T button}
:0$\to$ {The 0 is a zero} {The arrow is STO
:0$\to$ {The 0 is a zero}
:Lbl 1  {Lbl is in PRGM under CTL}
:Y1+S$\to$ {Y1 is in VARS under Y-VARS}
:IS>(K,N)  {IS> is in PRGM under CTL}
:Goto 1  {Goto is in PRGM under CTL}
:Disp "SERIES VALUE"     {Disp is in PRGM under I/O} { " is on the + button}
:Disp S 
:Disp "F(X) VALUE" 
:Disp Y2 

Running the Program
You will need to enter an expression and the corresponding function f(X) into Y1 and Y2, respectively. The program will ask for the X value and N (the number of terms to be evaluated).
To test the program try the following:

Enter $\hbox{$X^{\hbox\
\over \hbox{K!}$ into Y1 and ex into Y2 . Use X = 0.5,  N = 3.
Your answer will be
Series Value
F(X) Value