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quences; TF objects ane anvanged ‘
Teertain vue, this vrmqement ig called @
Seance. we de particulorly interested in seq?
whose member dae yea} or complex umber,
An ordenwd get of veal or complex
Humbe is called q sequence
9% ap SPO? te a given squwnca $ if fag)
4ondy to a finite rreel ymbe L @ Ka
thon $f % is ewlal 9 convengent Sequonee ,
( I
jo a ns
Baerga) --- K'---
o
p la
fer = 2
|
Sequence 48 ste
Bi i.
WO Be tr “| — iia
io)
t= Ze
vibes
egg tol |. Rp) Tes) te) VED
’ 02), £2), a be a Seqy
4 tong Where & varies fram —? to %.
of z= xtiy be 4 Complex number then,
2 Pty? = _.- + feayz?+ a az + ft \yz
+ fojz? + fz! + Ped
fez + —-
Thu, 2ffwWF = ZT fyzk
k=
\ Bem SH = $2 gq 4,9 0, | a yaeieaa
i
Soln:- Sin & |s the term coryesponding to K=O.
< we have,
me fC)=3, fisj=6, fedJ=4, f)=2, f(2
Bee ey=i fo=3 fw)=s). tGe ei F ff? = 1% 2% es
find 2: £093
Sine 22 tera of He Squne &,
Gin oth) 2“
as
oe 37 (rae 4 904
a eet +(2)4 ——
= aes of [4]<)
ee thaft ty ko 4
‘sk fo k20 fi ahi}
Sen The sey? is
a Poe
$ruyg = { --- 4 4° a 4 Paeecuss! 3
Si As . a Te Seder ig egt if
Z| fie. to. He Seueg
all points inside the circle
rgtarts 4 4FCK)2
jene which cam 8 add
q. 24KR + b. 290% = [-- oe 0
+ [tt ae tf ele at
oe
é lif
# |aa| “oe the R-0.¢.
2 (i= —9 (ox) leet
Lee all : o
2440)} = F(z) thon 2 fk fia}= 7
Mae 27K? = ey if llet.
iP By ef?
ly = ere Bee ee =, 0
(ae ell lz"fe|
=e ae '
= Se Mey
Za)
So, by the fropedty of Mult. by k,
29k? = 2$k1? = -2 [2813]
(oe
ae iy 2)
ee
ial lzla|q
li ap 4
lution:
7 = ae [31% are two sequoncep then
eG fee? San? 18 defined 4
ning ffeog {307 iid eR fay= ony s a= 2 ow fd 2 z-
| of Py.x 9tk) .
Som- w.k + WE = vow = £1, Ul 38
. 2ffwp= Zz = te Bi
Zee ae
ae) = aa (lz) a
By the change of Seale property,
22
ZP gt = 2for Ue = ese
Cea [2 |
(Zap Ga
Bac € UK), thon find
_ # fhe : 5 glkK)=
the z- +9 of fi x HK).
ff} = oe 4, 4
aa) at
xt eis st st 4;
\
“22402 = ZX 4K) Zee 0704 sot4 82
= HE) +e
iS
[= feae = ae ak
By eonvolution thm,
ZftKex 4K)? = FR). G2)
: ae i =) 2 eee
Ce)
ze
eiey
par Find 2 Sf shew. fy = =ex
Son eae = Zee Ss SS
\\
* eta
=—] = =a
lo 'Ioz) 22=|
ce. tial <|
Ce lozlal ¢e.lzlrs
ae
lal>g bay) +2)
Bi
4292 4 G5° 2-4 ——bt+)Gis) pn
pare
| 7 *
= 4 az 4 66)" zs += ht iots) oP
pa cz D -
i. coetidek of pit = (hp (42) 1oh
ce “i ¥e (HSER
cola ob 2k = (K-34) (kee) ie
fa ED a 5
2 tra) = [k-D) (ei) ose
i \4 x_Sara
=\7 5 =
