Series de Taylor

 

^IPGI^ LI \DWCOP W LI KDNCDYPGH

IMIKVCO= Ndcn Nd cnuc ucdr dr i icc po pocg cgho hokg kgo o li \d \dyc ycor or l li ij jrd rdlo lo < qui si dmus dmustd td d cd eu euhn hngþ gþh h si sih(x h(x)) ih ic p puht uhto og d)  `) 

Iskdrr ic v Iskd vdco dcorr li licc si siho ho li 56¶ 56¶,, Ko Kostr strdr dr i icc ir irror ror qui ssi i no nokit kiti i ri rispi spi Pidcgzdr co kgsko pdrd ic ähjuco li >6¶.

IMIKVCO= Ndcnucdr ic pocghokgo li jrdlo : qui si dmustd d cd euhngþh sih(x).

LD\O^

G\IPDNGOH LIPGUDLD UDCOP

Jrdlo ; <

6

sih(x)

4

e(x) ; sih(x)

4

nos(x)

6

puhto ghgngdc ; φ/0

0

-sih(x)

-4

>

-nos(x)

6

<

sih(x)

4

( ∐/ )X )/!+ (   _ ();(

d)

sih 56¶ ; 56¶------rdl

(L (Ldt dto o rrid idcc - Ldto Ldto Ndcn Ndcnuc ucdl dlo) o) Ldto ridc

* 466 466

 

 

gngdc φ/0. Yhd viz ridcgzdlo isto=  

 

to dc vdcor ridc

)/!+ (( ∐/ )X)/!  ∐(( ∐/ )X)/!+ (( ∐/ )X)/!+(( ∐/ )X)/   _ (); ∐(( ∐/ )X)/+(( ∐/ )X)/

6.255609<

(lij)

UDCOP PIDC IC LI CD NDCNYCDLOPD

>56¶

0φ Pdl

56¶

x

IPPOP D@^OCY\O ;

6.66662

IPPOP PICD\GUO ;

6.66>%

/> Pdl ;

6.25569>

`)

 

   !

sih >6¶ ; >6¶------rdl

6.9

(lij)

UDCOP PIDC IC LI CD NDCNYCDLOPD

>56¶

0φ Pdl

56¶

x

IPPOP D@^OCY\O ;

6.66:75

IPPOP PICD\GUO ;

6.>97%

/5 Pdl ;

6.964:75

 

^IPGI^ LI \DWCOP W LI KDNCDYPGH

IMIKVCO= Ndcnucdr ic pocghokgo li \dycor li jrdlo 9 qui si dmustd d) d)  `) 

Is Isk kdr dr ic vd vdco corr l lic ic no nosi siho ho li