{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 
0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple
 Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 
1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 
0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE "" -1 -1 "Times" 
1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f:=x->sin(x);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "t1:=convert(taylor(f(x),x=0,
2),polynom);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "t3:=convert
(taylor(f(x),x=0,4),polynom);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 40 "t5:=convert(taylor(f(x),x=0,6),polynom);" }
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "t7:=convert
(taylor(f(x),x=0,8),polynom);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 41 "t9:=convert(taylor(f(x),x=0,10),polynom);" }
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "plot(\{f(x)
,t1\},x=-2*Pi..2*Pi,y=-1.5..1.5,thickness=2);" }}{PARA 13 "" 1 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "f(.1);" }
{TEXT -1 0 "" }}}{EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "subs(x=.1,t1);subs(x=.1,t3);subs(x=
.1,t5);subs(x=.1,t7);subs(x=.1,t9);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "evalf(f(3));" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 93 "subs(x=3,t1);evalf(subs(x=3,t3));evalf(subs(x=3,
t5));evalf(subs(x=3,t7));evalf(subs(x=3,t9));" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 47 "p1:=evalf(convert(taylor(f(x),x=3,2),polynom));
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "p3:=evalf(convert(taylo
r(f(x),x=3,4),polynom));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 
"p5:=evalf(convert(taylor(f(x),x=3,6),polynom));" }{TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "p7:=evalf(convert(taylor(f(x
),x=3,8),polynom));" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 48 "p9:=evalf(convert(taylor(f(x),x=3,10),polynom));" }
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "plot(\{f(x)
,p1\},x=-2*Pi..2*Pi,y=-1.5..1.5,thickness=2);" }{TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(f(3));" }{TEXT -1 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "subs(x=3,p1);evalf(subs
(x=3,p3));evalf(subs(x=3,p5));evalf(subs(x=3,p7));evalf(subs(x=3,p9));
" }}}}{MARK "0 0 0" 13 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }