Sep 24th.pdf - Elementary functions n Pnczlzaota.tt...

Elementary
functions
n
polynomials
Pnczlzaota.tt
tanz.no
Rated
functions
Rczjzaotazt
botbitt
tbnZ.exp.tig.bg
etc
Theorem
C
Gauss_Fundamental
theorem
of
agra
Eeg
polynomial
w
complex coefficients
has
at
least
one
not in
4
Rat
f
Z
Ed
is
a
wot
f
Rn G
then
can
write
Bit
cz
qmczyxpoyfdegnrgeatedyappy.hn
RCZICZ Z
7qu.KZ
CZ Z.IE
⼀⼆
hnzcz
___
an
CEE Z
Zn
尛
cbyoyaigaeftfzneh.tn
PCZ
Z
3
2
Z
4
duty
to
find
me
pay
⼆
03
20
4
4
PCI
13
2
1
4
5
pcz
23
22 4 O
G
2 is
a
rot
Tutor
out
Zz
using
long division
2
年
2
Z
t 2
22
z
3
10
2
2
Z
4
z
3
22
4 E
2
区
年
22
12
z
3
z
2
L
222
2Z
2 ⼟
nz2
4
tzyt.IE
242
2
2
⼨⼟
之
2
Z
4
22
4
comes
are
2
1
⼗
之
⼀
⼀
之
Pcz Z
2 CE
t
l t
Et
l
ti
NB
f
RE
Piz
have
some
nots

f
m
s
Then Bin
Pi
act
Real
also
can
expand
in
powers
fz
zoc
cfPnCZI
aota.CZ
⼆
t__
⼗ 击
Gap
aj
10
印
到
红
expansion
Real
Zoot
is
a
mefpof.mu
tiplictgk.PCZ
CZ
Zo
KqCZ1qCZoHoPCD
Go
0
0
的
Ek
and plz
to
Rational
functions
RE
Gta Zt
tamzmbotb.tt____t
but
Df
hose
numerator
of
denominator
have
no
common
factors cnet.SI
The
Zeros
of
the
denominator
are
called
the
poles
of
Rs
cthg
could
have
multiplicity
NB
f
964
is
a
pole
f
R
then
lmRcziozse.ae
Find
Zeros
poles
of
fz
2
2
22
1
the
Sl
ft ⼆⽇
1
2
n
zzczyjcz.tl
mghiities.EE
Zt
Zt
1
⼆
三
ZT
Et
l
Zero
El
ul
multiplicity one
Z 0
2
Z
1
1 l
THMgwseRczjzaot
tamzmbnG
G.HL.CZ
end
degree at
numerator
m
denominator
d
c
t___tdn
assume
a
Gn
are
distinct
and
different
from
zeros
of
numerator
assume
malt
tdr
Then
R
has
a unique
expansion

1
12 ㄖ
合
旹
µ
t____t
㖌
笜
⼗
怨⾔
at 1
全
县
t
A.cn
CZ
eydrt.it
A
头
Zen
Where
Ai
E
4
are const
This
is
called
partial
fact
on
decomposition
Ex
Find
parlidfrac.de
comp
of
扣
⼆
点
Sol
Want
to
unite
抋 愁
垈
t
全息
化
些
品
Two
ways
to
find
g
们
write
RHS
on
common
denominator
equate
of
off
equus
for A she
direct
calculation
as
flows
Zi
蝨 ⼆
千 岩
⼗
多
A
2
Ztl
to
get
A
muhpg through
422
裂
A
t
ZA ⼗
点
A
2
plugin
Zo
卉
A
to A
t.lt
23
1 A
1
Sim
to
get A
o
mu
It
gczty
A
2
For
A
multi by
E
take
杰
杰
烈
A
点
⼀
蕊
2
A
新
⼀
忌
到
2
A
t
意
⼀
百
品
A
2
see
Z
t
G
j
A.CI't
o_o
Ad
fcz
2
⼀
⾔
⼀
⾄
1
for
general
RE for
pokey
As
him
蕊
cz
gfp.cz

dz.sc
J
Exponential
ttngfus.EE
etaosytisinyj
exeiy.pe
0
NIX
ay
entire
and derivative
GI
e
Z
let
e
c
1
cosy
ti
sing
1
1
不 吐
⼀⼆
1
age
Eytziiz
Ty
to
solve
e
Et
Need letkl.ie
ㄨ
1
Need
age
E
ang
l
otza
3Z
xty.to
2
丌
证
Theo
run
D
e
E
l
if
Z
2
个 之
区
2
塪
e
瓦
EYE
2
1
E
2
1
7
E 瓦
2
T
之
区
3
et
⼆
⼊ ⼊
E
4 has
a
solution
Y
⼊
北
g
Want
et
IN
y
argnisx
bgklyn
ay.at 2
不
讴
Read
eh.osftisingyc
Ret
osf
isiyaddeq.me
讣
e
讣
2
cosy
is
asf
eiytezshtnaeteg.eh.ee
2
之
Sing

singe
以
⼀品
Dfa
Sin
Z
e
i
Z_e
21
2 i
G
Z
e
证
e
区
z
UZEXSephhtnzaz.GL
⼆
窃
Sec
⼆
⾔
c.sc
⼆
点
Properties
Tian
from
tngfonR.eg.sn
Cxt
2 元
Sin
x
Ux
ER
claim
Sin
⾅
2
元
⼆
Sin
Z E G
f Sin
CZtzajzeiCZtEJ
eicztzijzi.ie
起 红
é
是
⼀
位
2
i
e
证
_é
证
Sin
CE
zi
Sin
Sin
Z
Sinai
VZ
E
4
Sim
杏
snz
渣 ei
ezj.ie
Ei