Лекции по всем курсам высшей математики МГУ (1108331), страница 22
Текст из файла (страница 22)
W< T'4I/JV * D&o o ! S" *!-"!%4%/SU'4I/JUb-2!"#1%S*'4I/J" !%SW*<" !S @$ )B S fgh U'BI/JU + ;! ! $ B2/S * #' $ $ # S 52 !*#$ $(4 4_4/*#$ /SU'I/J`'4I/JUb5"U'I/JUU'4I/JU^5)4^52<"*$#$'I/J!2HG?"*$)/SfghU'I/JU")S pqr )H@;-S)^52/H 4//S!*Hb4/$*##7U'H I/JU)b)^5S-6*H_4/U'HI/JUU'I/J`I'I/J`'HI/JJUU'I/JU^U I'I/J`'HI/JU)/^5)^5S-2 @*,#;2!"#(W<'I/J !S'4I/J'I/J"4/W<*S)4I/JS' 4 ^ 4I/J !S2/31, # #;+ *# ( $#"*$#1$+;"#!$+ +$# +#2!"#.4OI/J2&4I/J&I/J"O4I/JS: M5!2&4I/J^O4I/J&I/J^OI/J2SS-!2(UOI/JUb--_/%/S"&4I/JdO4I/J&I/JdOI/J2S& "/# &"/# ------------ "5aUOI/JU_-_/%/S2O4 " / # S O " / #4X!2 --------------!"#(L4I/J*/ !C4I/J /4"L4I/JC4I/J SS42HH ?=Q;2*2QO*=CD2?>2;N2Q;=N2=?; * ' &4 #' $ $67'*$#$2 $ % 4""?36+" !W<'4I/J%S"%!"! `/*4/24/IJ"!%B`4/4`4/%/SU'4I/J?'BI/JUX 'I/J2 (" U% 9 $ ' I/J 4S+1(!_/$,$#$4/S4/IJ"+#$4_4/+#$ /SU'4I/J`'I/JUba-2E#9$0*B_4/4_4/U'BI/J`'4I/JUU'BI/J`'I/JU^U'I/J`'4I/JUba-^a-S2"!2@;6$#/S670+ *$#$ '4I/J *#,$+ # $#1 +#*+$+'&42<"*'I/J"22*+67+$,$##$0;$# S2 ?" # ( ( $ _ /" * $#1'$+45S45Ia-J'"*#$ B4_45U'4I/J`'BI/JUba-23#*#6$/S$B($0$2@#$#U'4I/J`'I/JUa-b2E!"*!+4/S4/IJS45Ia-J"*#$ 4_4/#$ /SU'4I/J`'I/JUb"22'4I/J'I/J2 S$ '4I/J = *$#$ $ $ 670!+&4I/J"-'&4#0' $ $ 9! +2 36 ! # # $01,'2 $ % "%&4I/J* S% !"! `/4/24/IJ"! 4`4/" D6%/S4^DH24^5HI&HI/J b7"$ +X"$6#*+'60'$$#+#'$ $+&4I/J2 $ % ["!&4I/J* '4I/J % S" !" ! ` / " ! T4BV TDBV " !4B^5`4B"T/BVS"*%4B^DBH24B^5&HI/BJ :$$ * # $ +, $+ +# *$#0$'2*K+E+:+'I/JS42/ /I5`/J4$ $+#P/"-J2?'$#"$+'I/J*/S/#//5'I/JS/42/S --- S5 I5`/J4S/ ----------------------------5 `" 5 `/ #'I/JS/2<"/S/=#67'I/J2E$($ $(#'"67+'I/J((*#'#$5"*$&4I/JS/I5`/J40*# # 2 E 9 2 3#" #'$ $2G+ $ '4I/J S /4" ;$# S S I/" 5J #+$ $$2?'$#" # [ *; S /" 5 * ;B_5#4BSB"/BS5`5aB"DBSB2!(U'BI/BJ`'-BI/BJUSUI5`5aBJB`I5`5aBJ-B USSI5`5aBJBI5`I5`5aBJBJ_5aXd-aX_/"5S2("*1&4#6[*$0#$'4I/J+#+$+#$ +,'$+2@;;L; .
W< Z4I/J P/" 5R %4Z4I/JZ/I/J4""!W<Z/I/J!I/"5J@2;?;2*2QO*=?; * #' $ $ 670! +" *;, '4$$" (1 ?0 2 < * 1 $ $#+ + #0' $ $" +#+1$+ ( " 2 2 +H &4I/J;$ $+#"##+1(0 2 *" ; $7+ $ + $ 0$( $# +#23!'$"" $#$#1 * $ $ $# +# !;#+##1;# *7*2:$$ $ $1,' ' #' $ 0$+($'67'*$#0$2 $ % " !O4I/J /4"%*S !" ! ! *44/4UO4I/JU4 4e%/S "! @$ + *$#$4 $,$0#2!+1(!_/$,$#4/S4/IJ'"+;!4_4/$*##74b2E!* ;4#$ /SUO4I/JU4b"22O4I/J/*42S / * 4 2 @; SU%2 @$ O4I/J 4SS fgh UO4I/JU2@$+1(!_/$,$#4/S/SS 4/IJ '" + ;! 4 _ 4/ $*## #$#UO4I/JUb"* ;44SfghUO4I/JU2<"4/*42/S@&+ @$#$ 4 # 5 #$+ ;0'+O4I/J"#;9'"#0+$ $($'67'*$#$#$$,$##1($';2:$$ * * '4$$ + #'$ $67!+2 5% ! D4 D4 / % W< &4I/JS" 4%/ S<U&4I/JUD4f"! &4I/J D4S $ % 4"# "3"6+ .
W< &4I/JS D4: %H ?$ $#" $ + C4I/J #$ $+1S2A"*1(6$#/S$#'+&4I/J$ $+"*$;0D4Sp2&!"*;6$#/UC4I/JUS H24a5 &HI/J H24a5 U&HI/JUH24a5 DHS?4"!?4=$$#!+D4?4/*42E*.9"C4I/J($1;0 ?42 3#" C4I/J / * 4 " 2 2 + &4I/JS#$ $+2 $ %IJ4"#;,.62.M5J &4I/J'I/JOS-JO4I/J !SOXJ % W% / S ! *O4I/J: G4I/J"G4I/JS&4I/JO4I/J"*%S2I?J4"#"$6+.M5J!!'4I/J !SO-JO4I/J/4OSXJ % W% / S ! *O4I/J: G4I/J"G4I/JS&4I/JO4I/J"*%S2 $*;$ "*$#0 *#+$# +#2&4"$(0$"*$#$O4I/J(#O4I/J/+;! 4 2 @++ *(# (+ $$+G4I/J$*+(+4aDHN DI/JSB G I/J"'HI/JSB & I/J24^5 B24^5 B+#+#G4I/J&4I/J"*4^DUNDI%JUS H24^5 &HI/JOHI/J S4^DS '4aDI/JO4^DI/J^H24^5 'HI/JIIOH`OH^5I/JJ 4^D`5U'4aDI/JUO4^DI/J^ fgh U 'HI/JUH24^5 IOHI/J`OH^5I/JJ4 X H X 4 ^ DO4^5I/J fgh U'HI/JU24 X H X 4 ^ DH:$$$'IJ2$#'$ $+&4I/J$!$1&4"+1(!_/$,$#4/S4/IJ'"+;!H_4/$*##0#$#fgh U'HI/JUb2/S&!"#$#'!$O4I/J*0-_/+;!4+#$ /SO4I/J-23#"*44/$*##7UNDI/JU-2$*#$_/9#*$#++&4+#'$ $+G4I/J"22#$IJ2:$$*$'I?J2@9#$#'!$ $ 'HI/J" #$ $ 'H I/J S 'HI/J ``'4I/J'$+$-_/"U'HI/JUb-*#$ H/*42!+#$ /S2$*2-O4I/J S1(!_/*$(44_4/IJ*UO4^5I/JUbb " " 4" UN DI/JU -2 $ 0#;I?J;2>$$$#($+!'M5J*$#$O4I/J(#O-JO4I/J/*#$ 42?+!($+!05J";*+*#*;#$67'&4I/JO4I/J#2!$##$+O4I/J * # $# (#+ O4I/J" #$ $#+ + &4I/J $ +1$+2 ( $#($+ !+ -J"sip O4I/J2!0$$671O/I/J"!O/I/JS ijkO4I/JS 44O4I/JSO/I/J^4I/J"!4I/J/+#$ /S4I/J(#02>$1 &4I/JO4I/JSO/I/J &4I/J^ &4I/J4I/J2$I?J*#$!#1"#$IJ*$#+$('#$ +,'$++2';+##+ $#+ ( $ #4 0*,+2 ?;$1,'+,''#'$ 0$$$0+IPX\R"PXYRJ2 $ % 4?""L1(("&"$&%"&"%".+6.O4" : * % 425 O4 fij 4/ " % *!"!sip 4O4S/24H U%3!$1&4"+10(!_/'$+4/S4/IJ"*#$ B_4/"#$ 4_4/4 #$ / P/" .R $*## #$# H2B^5 OH fij H/ b 2BSP4a-R/S.aI[4J2!*B^5H4*fijH/fijI.a[JS - a-23#"4O fijH/I4`BJO4H2B^5 H- a-4O4 - a[2("+1(!_/4$$4/S4/IJ"*#$ 4_4/#*+$+#$#U4O4 Ub[a - "22sip 4O4S/2E( $24"!2 + 1(! ! $ 467fij4/=*$$*-."$#1$ $$$#!+P/".R2$#+"+1(!_/'$+4/S4/IJ"*#$ 4_4/$*0###$#U4O4 Ub21(4_4/1(57$4^D!S H24^5 OHfijH/ 5^-"P.a/R4^D5S H24^5 OHfijH/ "-S H2P.a/R ^5 OHfijH/ 2@H.a/fij^^"*9P.a/R5 H24^5 --- H/.2H?+7$-**(#(+2@-OP.a/R^5 5pqrDF4^F.- d --- " fijH/ b -------------------------H2P.a/R .a/ ^5/*$67+fij^a^(#*/b^.a-4^F5wtf " 4 ^F `5a- # / ` wtf " .a/ ^5a- #/.- ----------------------------2 fijH/ S -------------------------------------------------------------------------------------------------------------H2P.a/Rfij " /a- #- fij " /a- #/3#"bI.^5J2("+1(!_/04$$4/S4/IJ"+#$ 4_4/"+#$ 5 + 1(! / " #*+$+ #$# b I.
^ 5J" # $ + &4 #' $ $ + #1$ $425 O4fij4/2>" $ ((,+ 9' 82n2nPXYR2H9 +=*;2?;?"+#;+*+$+$,0$*++#'$ $2 $ % 4"# 6+ . *<%W<D4I/J"%02P&"OR"%!!"!D4I/J D4^5I/J % / 0 % 4 : %*/40"D4I/J0 $*'$ $*$#$D4I/J01+#$+!_/+;'/0;04S4I"/J'"D4I/Jba-2E67+D4I/J*#"/'$++(0$$"!(S(IJ_/"+#$ 7'D4I7Jb23#*0$#$ $$'*$1*#0"#$!"+#+$+*"9!*+;0 #( ** nI(5" /5J" 222 " nI(H" /HJ2 @*$1;$/5"222"/H$#$#1$#045"222"4H67D4 I7J"222"D4 I7J"/D4 I7JbHR5* #$ 7 n I(R" /RJ2 @; 4/ S pqr5 R H 4R2 !/D4 I7JD4 I7Jb*1(7nI(4 "/4 JRS5"222"H2&;0RRR/+0# #11$$"*9#;' #*+$+#$#/D4 I7Jb2/E!+#$ 4_4/S4/IJ#+#$ 7 0/*42 UD4I7JUb"22D4I/J0$ # Q # $# D4I%J $$# *$#0$$#C4I/J67!+ &4I/J$$#0&4I/J/"#$$''$ *#$$+*!#'$ $*0$1,''2 $ % " ! " %<%W<02P&"OR"0"%!"!*%@&+ ?+ $*##$ #;+ Q $,$0#"0+#+$+*2$"*"#$# 0 #" ; ( #'2 < *0#;('*+ /I5`/J4"'+#0+$+#$ +,$+#I/"5J2HFL22CC2>;22=:;2B;E4'4+7$$# ;$#'"($0*#1, #;$ *! 667#+ !#+67 +#2@+#'$ $+$!!#12*#$$#$ +,!$++0"sip I4sip '4I/JJS//sip &4I/JSsip 'I/JS//'I//JS/////sip '4I//JS4sip I//sip '4I/JJ22&4I//JS4/?!$#"9*#++*+#*0+# *$# * * ##///42?;#;#$(,!#"*0 " * 667#" *0!#";;$$#*+ #*+ * * # $ #(;$#!*2:$$#*$*!#+2 $ % 5'I/J% 02P"R &4I/J" W<" % P" R 1" 1W<"!)S A 'I/JL/S425 A &4I/JL/S425 O42 3!$1(!"!$67*:0" ;$# z4 # ;' 67'&4I/J#12E!(Nz#$ ;$#"zS z4";(!#2$$*; 0 ( (, *#$ #0 + #$ 67' &4I/J2 @9" # $ #'$ $ + &4I/J" $ 'I/J 9! + ! #9 *#2?!$#"!(!# # !' 67 'I/J ; # 1 $!$1(!"'I/J!*:P"R2!*#$ 4A 'I/JL/S A '4I/JL/^ A C4I/JL/2HE/*4"fghUC I/JUS? /*42EC4I/J4400>$1*4*A 'I/JL/` A '4I/JL/ A UC4I/JL/U A ?4L/S?4I`J/"422 )`H25 OH /*4)SH25 OH2@'*#+#$*$*0#*#*!667#++2 $ % 1 &4I/J!WW<"M5J%!//0SP"RO-J % % &4I/J *0OXJ &4I/J" % %" *%02:!6M4YI/JO5JH25 &HI/JS'4I/J0-J'I/JS&4 I/J2 $#+ ' *#+1 * 55+*!!#++ &4I/J$70 // ^ * 1( ^ P" R2 @ 9 $ *,1 6E1='(7*^^////'I^J`'I//JS)I^JS A 'I/JL/S A &4I/JL/S^S425 A &4I/JL/S425 I&4I^J`&4I//JJS425 O4I^J2//<#$#"'I^JS)I^JS &4I^J2>$$*0"+ &4I/J$ $+#02^^4I^JS A C 4I/JL/S A H24a5 &HI/JL/S////4S H24a5 I&HI^J`&HI//JJSH24a5 OHI^J"4I^JS)I^J`H25 OHI^J2ztC 4I/J/*4"*9$,$#*$#$D40$$#D4/UC 4I/JUD4*#$ $(4 4_4/#$ /023#"^^////U4I^JU A UC 4I/JUL/ A D4L/SD4I^`//JD4I`J2HG< " 4I/J / * 4 " 2 2 + O4I^J $ $+0# 0" #$ $ + &4I/J; #$ $+"'I^JS &4I^JS O4I^J^ &4I//J"! &I//J=$ +,'$+$#'+2 $ % .M5J &4I/J%!//0SP"RO-J &4 I/J%02: &4I/J%0"! 'I/J'I/J" &4 I/J2A*;#$!"$+#$*#$+60' E1='(7" *$ 67&4I/J ! ; !#$+*:( '$##*02 ?;$"$ '+ &4I/J#$ 0$+02?+9!*##*+9!+0+&42"($$#$ I&4I/J`&4I//JJS G4I/J"*$" &4I/JS G4I/J^ &4I//J"!$#'+ &4I//J$ $+2@+++G4I/J6 *,0'!;"*^I//"/J4^D4^D4^DzS H24^5 GHI/J S H24^5 I&HI/J`&HI//JJ S H24^5 I/`//J&HI^J 2E!"$!$1&4"+1(!_/*0$(44_4/1(De4^DzU/`// Ud H24^5 &HI^J bU/`// U2@$ _ / *#" 9 " $# 0+&4++ G4I/J;#*#$ 0$+#$$+ &4I/J2*( *"!$'I/J;6067#"**#+$#$*0# ##$+'/50SP"R2?+9!$$04' " / # `' " / 5 #$ '4 " / #$C 4 " / #$ '"/#----------------- S ----------------------------------- ^ ----------------- SK4^V4"S ------------------/$/$/$/ `/ 5!4*#2HH3#*++6 *,'"+V4*07C " / # `C " / #4^D& " / # `& " / #5544HHUV4 US ------------------------------------- S sip H24^5- -------------------------------------D/ `/ 5/ `/ 54^D& H " / # `& H " / 5 #- fgh H24^5fgh H24^5 ------------------------------------- &HI^J Sz52/ `/ 5D^04^DDe $ #' $ $ + &4 I/J" # z5 *1(_/$(44_45IJ$#$+4"2@9* 4UV4 Ub2@!+KI/JS &4I/JL4I/JSH 2& I/JSKI/J`'4I/J"*4a5 H;4#$ /0"#"7UL4I/JUz5b2?"67+'4I/J667*1(/"*9$ ' "/#$/4- S'4I/5J^*4I/J"K4S -------------------!*4I/J/*1(6$#4//52A6$0 *0(4 _ 4/IJ" * 4 S 4/IJ ^ 5" #(0$(IJ_/"(*4#$ /$$#/bU/`// Ub(IJ#*+$#$#U*4I/JUb2!+#$ /$ '"/#----------------- `KI/5J SUK4^V4`KI/5JUSU'4I/5J^*4I/J^V4`KI/5JUS$/SU*4I/J`L4I/5J^V4 UbX" 9 " $'I/Ja$/ KI/5J * $/ / 'I/J SS 425 & 4I/J2HI Q2K=2KKA;@*2<=@#$#*# *# *#+$0 *$#1 7$($ #( #; ((,! #!+ 9 #*$2 A$ $$# ! #$#+$,*+=*+**$#*$0# (2E*($++# *'2.W<ZI/"7J*#$%#$"*%I/"7J" /#7$.#)M "!W<ZI/"7J%W<mI7J)$" `/!OIJ)"!%/OIJ7$*UZI/"7J?mI7JUX8!M)mI7J2ZI/"7J$:$$*(KSTLV"1;$#$2(ZI/"7J%mI7J)"W*<mI7J%I5K"!I5*W<ZI/"7J)K@*! sip sipZI/"7J2I5K)++*+#*+* * #";$$# , *#' *" sip sip ZI/" 7J S I-2)K?##*+#'!**()K21! *#$"%I/"7J" /#7$"N"%%!G*G2OL" O)LK@*)K!MN2)K!($+#";$#N'$#(0(;$#2$M5J;'9GSOL"#" *$ -J *$ 1( # 9#G5 G-SIO5L5J IO-L-J$;''9GXSOXLX"!+OX)LXK##+1$#0+OX O5 O-LX L5 L-2H $ % 4"& & " $ "$ ,#&)K&6+.ZI/"7J95I7JZI/"7J9-I/J: *$%Msip sipZI/"7JSI5" sip sipZI/"7JSIK))KNS)KMsipZI/"7JSIX"N!I5SI-SIX2) @$_/*#2@$ZI/"7J95I7J"$,$#0$OSOIJ)"*#$ /OIJ*#$7 $ $*## $# UZI/" 7J ` 95I7JU b aX2 A6$K0( / S // OIJ2 $ $#+ ZI//" 7J 9-I//J '0$+ L S LIJ K" + #$ 75 7- !UZI//"75J`ZI//"7-JUbaX2E!* ;757-$*###$#U95I75J`95I7-JUSSUI95I75J`ZI//"75JJ^IZI//"75J`ZI//"7-JJ^IZI//"7-J`95I7-JJUU95I75J`ZI//"75JU^U ZI//"75J`ZI//"7-JU^U ZI//"7-J`95I7-JUbbaX^aX^aXS23!$1&4$1$"*KI 95I7J I" 2 2 sip sip ZI/" 7J S I2 * *;" K)KNZI/"7J I"!NS)K2@$95I7J I"+1(!_/'$+LSL"#K$$#U95I7J`IUba-*)#$ 7 LIJ2 ?" # $ !" ZI/" 7J 95I7J" '$+$OIJ$$#UZI/"J`95I7JUba-*#$ /OIJ 7 $2 * # $# G S GIJ N GIJSOIJ?LIJ2!+#$ !9#I/"7J0#$#UZI/"7J`IUUZI/"7J`95I7JU^U95I7J`IUba-^a-S2N<"ZI/"7J I2)>$$"9-I/J I2?+9!##$#UZI/"7J`95I7JUba-"$*##*#$ I/"7JGIJSOIJLIJ"*;60$#/$$**(K2@U9-I/J`IUa-b2)<"9-I/J I2H2@24(#'$,$##0+#$#*# *#*$#*$# ()K"':228PX-R#5QQ.!2<#;((,$#$#1,''22#+*#0 +#2 $ % 4"" -.
" $ " ,%#&&6+.#ST/V)"$ST7VK1W<ZI/"7J"* # $ *M)KZI/"7JJ mI7J"ZI/"7J GI/J2: ! % sip sipZI/"7JSK)S sipmI7J sip sipZI/"7JS sipGI/JK)K)"%!* M _ / ! OIJ ) *"! !/!LSL/IJK"%! *UZI/"7J`mI7JUb2 U% @$ ( *# * $,$#1#I2!$*##7UZI/"7J`mI7JUSUIZI/"7J`GI/JJ^IGI/J`IJ^II`mI7JJUUZI/"7J`GI/JU^UGI/J`IU^UI`mI7JU2(*# *#I"+#$+!_/'0$+ + O ) L K " * #$ / O *#$ 7LUGI/J`IUbaXUmI7J`IUbaX2&!"*K6$# / O # $ $#+ ZI/" 7J GI/J '$+L5K"+#$ !#*#0$#UZI/"7J`GI/JUbaX2*#$#$!+OIJ # O" # $# L/IJ = ' 90L/K"*;,'*$1LL5"22L/IJSL/ L L52!+#$ /OIJ#$ 7L/IJ(#0* #$ #$#" UZI/" 7J ` mI7JU b 2E( $2"!2*#$_/$$0OIJ)$#+2@##*0 + &4 + $ $ mI7J * ( K2 ?+ 90! $$ 6$#1 #$*!1 / OIJ$#$#1,'L/IJ(K2$$ $KZI/"7J GI/J"+&4$"*/'0$+LK"+#$ 75"7-L$*##H#$# UZI/" 75J ` ZI/" 7-JU b 2 * L/L L/IJ2?+1( 757-"*;, 01L/K"#$SUmI75J`mI7-JU7#$+M$UmI75J`ZI/"75JU^UZI/"75J`ZI/"7-JU^UZI/"7-J`mI7-JUbX2<"*I$$ $KmI7J I2)>$$*"GI/J I2?+9!$##*0#$_/$#$#1,OIJ)" + ;' 6$#' / OIJ 7 #KK$5SUGI/J`IU2$#'ZI/"7J GI/JmI7J I$"$0,$#LK"+#$ 7L#*+$+#$#UZI/"7J`GI/JUbUmI7J`IUb2#$*!17L L/IJ2!$*##7$5SUGI/J`IUUGI/J`ZI/"7JU^UZI/"7J`mI7JU^UmI7J`IUbX2)?!$#"GI/J I2@&+$#6#5.*;L/IJS$"*$+ $# #' $ $ * ( ) $;$#$29$#;+#+$+$$# 5[2 (" 5.