11.10Taylor andMaclaurinseries
powers eries
Howdowe find apowerseriesforthosethatdon't follow a geometricformula
wewant
we iii iii iii iii iii t.it
nar
EY9E
Y15
takina
so exasa acan as in general on hi
takingthederivativeagainwe have
Taylor series
the series
iiiiiii.itiiiiii i ii i
mmammam mmmm mmmm
Iiii IEiiI i
radiusofconvergence use ratiotest
t.siian iii i.iiii
sinexs fcos fffx fh a 13310
I cantasist
cannot
antstantz
the canttlantz
or fix x2 31 3 x th
no
E c in iiiin
ex findtheTaylorseries for x I centered at
a in
I 1
t.ws this i
f ex f l 2 2
x 1 23 31
2,4
fine times c 1 hn
HI
soon c in and Eocis exish
tiny I
me.name
Iiiii Iiii so ten
him aim
iii
Ention
him II
roc o ioc x x
powers eries
Howdowe find apowerseriesforthosethatdon't follow a geometricformula
wewant
we iii iii iii iii iii t.it
nar
EY9E
Y15
takina
so exasa acan as in general on hi
takingthederivativeagainwe have
Taylor series
the series
iiiiiii.itiiiiii i ii i
mmammam mmmm mmmm
Iiii IEiiI i
radiusofconvergence use ratiotest
t.siian iii i.iiii
sinexs fcos fffx fh a 13310
I cantasist
cannot
antstantz
the canttlantz
or fix x2 31 3 x th
no
E c in iiiin
ex findtheTaylorseries for x I centered at
a in
I 1
t.ws this i
f ex f l 2 2
x 1 23 31
2,4
fine times c 1 hn
HI
soon c in and Eocis exish
tiny I
me.name
Iiiii Iiii so ten
him aim
iii
Ention
him II
roc o ioc x x