TI -86 用户手册

19APPS.DOC   TI-86, Chap 19, US English   Bob Fedorisko   Revised: 02/13/01 2:41 PM   Printed: 02/13/01 3:05 PM   Page 254 of 18

19APPS.DOC   TI-86, Chap 19, US English   Bob Fedorisko   Revised: 02/13/01 2:41 PM   Printed: 02/13/01 3:05 PM   Page 254 of 18

쐈 Support this conjecture by graphing 

, 

 (to which Cp(x) is

stored), and 

 together.

쐉 In the equation editor, enter the apparent characteristic

polynomial of matrix 

 and select ¼ (thick) graph style as shown.

씈 Graph 

, 

, 

, and 

.

씉 Deselect 

 in the equation editor.

씊 Select 

 from the 

TABLE

 menu to display 

 and 

 in the

table.

Compare the values for the characteristic polynomial.

A closed-form analytic antiderivative of (sin x)

àx does not exist. However, substituting t for

x, you can find an infinite series analytic solution by taking the series definition of sin t,
dividing each term of the series by t, and then integrating term by term to yield:

 

ˆ

G

 

L1

n+1

t

2n

N1

à((2n 

1)(2n 

1)!)

n=1

Plot finite approximations of this power series solution on the TI

-86 with 

 and 

.