maclaurin group 10

Constuct the Maclaunn series €xpavesion formula for the fucntions below [4a e& Fj =et = ga = O- 1 When ed Hea... Vatlauinn Senes of gin np te tt.

Constuct the Maclaunn series €xpavesion formula for the fucntions below [4a e&) Fj =et = ga) = O- 1 When

ed Hea Maclaunh fotruala : erp farm f(x) = =5 #10) To z“ + o(x") (or fH) = #0) +416)x ro» mint HOP cay)

a x #„ 6Ï 1") [rma we wit tt asa ceal sevies: = —- )

+ 2 mm ” + % it TT pe st = + ota")

tn earal , Wh can white 2&2 nasty ux + o(u") mith —> Ô as x70

A—+

Ad the Maclaunn formula 4# đóa~ TT — Geo = A

Aas HO Gis (x*42)(%-2Z) ima a =o us ~ø(u^)

4— A

vu

= A+ur-nx A-(x-+t) Bes * x*) ax «)"|

Whi 2 ve‘che (x-2) A che =>

nities 2 vé “che wer? v#t\ dha 2= L8,

2 “a(1-%) 2 2{4 + 22)

_— -1 —(x\< “ng TU kK=0 (an) — tS ~ EVE 4 o(8 „ So S

ons Vatlauinn Senes of gin) np te tt

4/4) = QMX ) 2t) = #a(s + n.E) (T= 20 j repeat every An )

Apply the Haclaunin formula

a ì

4Ä) = 2_# 1) o(x*)

+] Ae) = woe 5 $a) = (at nh) a 4w) = œs(nE)

Apply thy Mác [aucn formula

kao (1k)! L= đu ArtZax — ax Non &—_& 40007) = (n= +000)

=) 4 (a) = 404 ~9'