z = χ + iy, e = 2,7182 , 
= 
, ..
= 
(11)
= 0, ,
= 
(12)
, 2πi, . . 
. z = 0 
.
z = r( 
: z = r 
, 
= r 
(13)
.
:
1) : .
r1 
(14)
2) : .
(15)
3) : .
(r )n = 
(16)
* 
(k = 0,1,2,,n 1) (17)
(12) . φ φ,
= 
= 
, :
(18)
(19)
(18) (19), . .
11: z = - 2 + 2 
i.
: (5), r = 
= 4. (13)
= 
; 
= 
. (18) (19) 
= - 
= 
, .. φ = - 
: z = 4 
:
1. : ) z = 1 + i; ) z = 2 - 2i.
2. : ) 2 + + 1 = 0; ) 2 + 1 = 0
3. z1 = 2 + 3i; z2 = 1 2i. .
4. : (1 + 2i)x + (3 5i)y = 1 3i.
5. z1 = 
z2 = 
z1z2
6. 2 + 2i.
7. z1 = 2e I; z2 = 0.5e0.5i. : z1z2
:1.) r = 
; φ = 
. ) r = 
; φ = - . 2. ) - 
; ) . 3. 3 + I 1 + 5i. 4. x = - 
; y = 
. 5. 
(
). 6. 2 
. 7. e- 0.5i.
.
1: f() →, ε > 0 δ >0, ≠ , 0<| |<δ, |f() |<ε. 
= . 
2: f() →, 
= 0
1: 
3: f() →, = ∞.
2: 
.
:
1. f() , 
- .
2. f() , - .
.
1: f() g(), , f() g():
|
|
|
(f() + g())= 
+ 
g(x).
2: f() g(), , f() g():
(f() * g())= 
f(x)*. 
3: f() g(), g() 0, , f() g():
.
1: .
2: .
= ( 
)n.
3: 
= .
