1-курс / 1-курс / Kurs_mat_analiza_Архив WinRAR / Kurs_mat_analiza_-_Kudravcev_T1

3 " ' (

!*

, ! (

* !2

' # ! # " " *

# "

: ! / 1

: * "

!* " "

!

@ * * "

"

!

( ! (

( ! "

# *

!

"

!

+ Γ

I &t) t

( &t) ((

L M- Γ

s&t) &

& )) Γ

(( ( t

( ; /G ! s& ) I 4

HIs& )Γ

C &t) I & &t) &t)J&t))

Γ(

(( ( IA& ) (

&F> F=)

; H ! I F 4 9 $I F ( &F> P4)

; u I ò< T R F F _

* ! , 1

! #

!

& * I F ) # ! ,

u ,

-&F> P<),

; I cf`P t I `_bP t &

=<) ?

" C *

t4πgFH ' & <gR ) 9

$I UP cf`F t `_b t $I P `_bF t cf` t(

&F> F=) & J$I 4)

I `_b t I cf` t 4 t Fπ 4 V "

*

( ( &F> PF)

+ !

' !

! &F> PF) ! #

* ! ' "

)*+,-./.0p1 1 "

" (( b I b&ϕ) α ϕ β H (

1 ; ( b I r ϕ &ϕ4 b4)

&ϕ b)

3 (

"

" " " "

" "

* " ! E ! '

! *

& ' (*$%&; Γ I J I &s)1 4 s HK / # BB ( ?$ 9 6 9 P s /# 9 <$5 I

b

&sT s) U &s)m 5 & M --D----s-- %& &%9 6 ?

# s 4 & :6L4HMU& : &[ & <9 <72 5 εW 4%$8 %&$& & 6 δW 4& <9 <72 4 & ( 6 s L4HM<9 <72 5 # 8 9 s&sT s L4HM)$(

< & 978 5$%< 7Q sQ Vδ # < 9 &%9 %&

--------

Db U < Vε

Ds

+

! 4 Q U <Q Q FU <Q

T < <

Q U <Q I F F < Q FU <Q

----------------

T <

+b&s) I & &s) &s)J&s)) ((

$&s) $&s)J$&s)

L4 HM + '

" *"W 4 "s L4HM

" ! ε W 4 *δW 4

"s L4HM " * s"

Q s~ iδ sT s L4HM ,

+εW 4 !δW 4

s L4HMsT s L4HM~ s~ iδ 9

( " * G

( &s) &s)J&s) ,

4 Vθ< θF θP < <. G

) ' * ' ( *$%&; ΓI J I &s)1 4 s HK / #

U &sX U <)Q1& 5 HI j_s λτ

τ → 4

9 λτ

Γ# "b&sX)XI 4 < FXτ

+ " * !

o H4 9

" ! " * "

" 0 !

P(

: * *

*

# @ %&;7 8 9 +ΓI J I &t) t K / *

W 4 " τ I {tX}XX !! X4τ /

! L M #Γ

# "b&tX) I & X X)XI 4 < FXτ& <P[) + * X I &tX) U &tX U <) '

•" &

! ) *

`XIπ& X U <T X)Q XQ

* / " *

/%< %$8 %&$& # < j_s …τ & (

τ → 4

: &%9 #< 8 ;7 … # @ %& [ 2 : 4 8 (

6 4 Γ 6$5 % •

-!

XYZ

… I j_s …τ &F> PR)

τ → 4

) ' * ' ( ! *$%&; Γ I J I &t)1 t K / # BB ?$ 9 6 9 2 : % 2 @ & 6[ < ' 8 9

# <$#< %6 %&W 4#< %6 %& # @ [ 1 m 5 <9

#< 8… # @ %& [ # <$4 8 6 4 G 6$5 % • [ %# < B $<

5 s /# 9 <$5 6 4 G4 s H

0 " '

" & <S H) (sIs&t) t

!

&( Fp &s))

Xτ

sτI Fp S XDsX &F> P[)

X ! <

' ( &s) !

L4HM *

xW 4 "s ÎL4HM

Q &s)Q x5!w&d1 )

( &s)lτ / #

" &sX) QD XQ DsX XI < FXτ

+x (

( Γ I Jb I b&s)K s /

4 s H+

" * b&s) D&s)

& D&s) / '

)

! !τI{sX}XX !! X4τ L4HM C !Γ

ΓXI Jb&s)sX U < s sXKXI <Xτ

!ξX LsX U < sXM & <P>)

D&ξX) sX sXIsXUsX U < XI < FXτ >< & (4 2 & 4 D ΓX!

!D

* "

Xτ

ΓX@ " ' " ! S D&ξX) sX

X !<

7 (D&s)

* <[ 6 6 & $ %& &%9 %$

:2 9 τ %& &%9 6 $<7[ : &%9 2 & 4 % < D <; 6 4 Γ

-! ! ' ! !h

Xτ

hI j_s S D&ξX) sX

τ → 4 X !<

C

* ! t &

)sIs&t)

t (( (

( &F> P=)

hIò DLs&t)Ms$&t) _t

: , / 2

3 1

+x /L

+L L %& & %6

& & % & <; % 4 • •

+ΓI Jb&s) 4 s HK / *

W 4s /Γ

1 L / s LIρΔs ρ /

< 4 4 #< & %&;7 6 4 Γ - " +

" * 6

ρI < s

s H

+τI {sX}XX !! X4τ / ! !

L4HM sXIsXUsX U < XI < FXτ7 !τ

!Γ ΓXI Jb&s)sX U < s sXK ! !ξX LsX U < sXM XI &ξX)XI &ξX)XI < FXτ

X sX! ! "ξX

>< & %& & %6 &