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(2) . !#"%$'&()**,+. -.0/21435.76. 8:9<;*=>9 "?@ =>9 "?BA!A!A!A#A!A!A!A#A!A!A!A!ACA!A!A!A#A!A!A!A!A#A!A!A!A#A!A!A!A#A!A!A!A!ACA!A-D E&5"GF?A!A!A!A#A!A!A!A!A#A!A!A!ACA!A!A!A!A#A!A!A!A#A!A!A!A#A!A!A!A!A#A!A!A!ACA!A :8 9 &(H 9 1IFKJ'&(FL ♦ 6NMPOQ1SR ♦ 8 3UT21SR VXWZYZ[]\^#_a`,b_ c]dfegih2j>kmlnoprqts:uKswvyx{ziu v{zX|Zz5} zX~x{zS! zZmx{zmxyv{K Z]~KE<~2uKswvyx{|ZCqts(v{zC W5C[w_a*[(%C`<,b`*@%b`,@?m_bWZYZ* YX aa`(>'[]@ [w0WZ,bK[(%_[(`*[w_a`GC`K[]WZ`_a<\[( !df eok p>oDp~N¡f}¢~K|XC~!xyv{(£#zXvyx{¤KqzC q¥sSv{yu*CmxUsQ~KzXqtq¢yu<s] Xt:q¥swy|Ztswx{}Cu*:]¦C~ !KzXyx{§t~¨|5s]yQ} ,|Z]vyv{zX ZC~Kz] ¤KswvyvUs(v{ziq¥s:v{yu*]mxUsQzXvyvUswxUs:ziy|©v{t£CzXv{zSs]|Z|Zs]~!x{QqtsQ~K(£Csiv{yu*CmxUsd ªd:kj¬«®p¯i¯Dkswxyxyv{¤ K°x{u*z©vqts¢v{yu*]mxUsQzZ{swxyxUsQy]~KQ~<}|5swx{s]qqts:±<~ zi} C¦]~K zZy°x{ d ² dQj>oIgDkm³km®4g´K{s(v{ziqt¤v{E*!<s]} zXv{~ |5swq|ZCqtswx{wv{E*x{zZqzXµ]~K|ZzZqqKqtswv{Ed ¶!dfegD p¯DnIoDp¸· \WZYZ`¹º`<*_¥`»0Y(\YZY5_4_¹º`<*a__[(`<YZ`C`<a` d ¼dQ®p>p>oprqµaC¦]qt½³|Z]¡fzu v{]¡fzZ¡f]v{ts:}zZqqzv{tyu*]mx{z }Kswx{z]d ¾!dQ®ph2jg¿sQ}yu*Cy ZC~ zCÀc5¶]ÁQ¡f~d *AN ºF» >FKÃwFĺFH( ; J> = Ã(0ÅmJ ='Æ 9<=. f. &(FKÄ % 4Ç<FK&5 ºFK$' EÄ &(FKÄ 'CÈ = EÃwF» >FL f (x) = log. x2 4 − x2. É w& F< ! # ºFK&(H5J'ÄÅ 9<; ÄE 9 Ê'& 9 à 9 9 ÄEÄ 9 J =; &wF Ȭ 9NË J¬FKÄE EÃwFKÃ5 EÇ 9 '#ÄEĺF½ÅÌJ ='Æ 9<= 9 Ã5Ã( = J'Ã5 {A Î #Ã(#&5"» = FK&(% EÄI 9 "» = 9 f ! Ï#Ç, = Ã5J¬FKÄE H5 E"»"?#Ã5&5 *A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑÜÝZÞ. f. Í = F< ! 9 &( 9 9<= &5 H5J'ÄEÃwFKÃ5 . 8 FKÄ 9 ĺFK&( ÄE E"» EÃ5 FKÄEĺFQÅm& 9<= Ã5 #&wF¨ '#Ä 9 "» = 9 '#Ã(#&5"» = FK&(:#Ç, = Ã5J¬FKÄE 'F<H5 = à 9 Ã5 ßÌÇ,#&5Ã5 FKÄE Í 9 &5 Æ!Æ9<= wà FKÄE Í 9 $'ÄE Ë J' à:Ê#& f A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ:á'ÝZÞ 8 FKÄ 9 ĺFK&(ĺF@ÅmJ ='Æ 9<= '#&5 EÇ<FKÃwF?Ê'&5 E"GF» f #ĺF<H(H5 Ȭ F = 9 #Ç, = Ã5J¬FKÄE IÊ'J = Ã5 =>9<= '#&5 EÇ*FK$' EÄE EÃwâA ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑÜÝZÞ ÂÃ5J> ºFK&(QĺF¨ #&(!Hw ! ='Æ F2: '! #&(!Hw ! ='Æ F0 FKÄ 9 ĺF = 9 Ë J¬FKÄ 9 &wF2!H5 H(ÃwF =>9 Í Ê'J = Ã5 > "GF<H(H5 E" 9ã "» = E" 9 &(#ĺFKÃ5 EÇ 9 2Ê'J = Ã5 4"GF<H(H5 E" 9ã "» = E" 9 F<fH(H Í 9 ÄEJ'à 9 Ê#& f Í A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ:á'ÝZÞ.
(3) 8 FKÄ 9 ĺFK&(ĺF@ÅmJ ='Æ 9<= '#&5 EÇ<FKÃwFGH(! 9<= >F f A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑÜÝZÞ ÂÃ5J> ºFK&(ĺF 9<= F!Ç EÃwâ?2ĺF? 9<= Ç,!H(H5 EÃwâ? f Í FKÄ 9 ĺF = 9G; ÄE I#Ç, = Ã5J¬FKÄE Ê'J = Ã5 D ¬!H(H 9 Ê#& f A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ:á'ÝZÞ. )A Î #Ã(#&5"» = FK&(. Í. inf A sup A. ! Ï#Ç, = Ã5J¬FKÄE"? = Ã( A=. . Í. min A max A. 8e + e. n2 n2 +3. Í !H(Hw = 9 . , n≥0 .. ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ. AN I '#Ã(#&5"» = 4 EÄ = J'"?#& 9 9 "»Ê'Ä !H(H 9 . w=2. √ √ 2 + 2i eiπ/4. 0H( = H( #&5 EÇ*F =>9 Ä 0H5J>2&wF< # I #J'$' > = Å 9 &5"GF»FKÄ ; #$'&5 F ã FK&5Ã(!H5 ºF = FA ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ. A Î #Ã(#&5"» = FK&(% EÄ4ÄEJ 9<;,9»; 9 "?#Ã5&5 9 ' ; ÄE . z∈C. ÃwFKÄE I >. [Re(iz(z − 2))]2 − [Im(z(z − 2i))] 2 = 0.. . ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ. A 8 FKÄ 9 ĺFK&( sin2 n2 + n7n + 8 log(n + 7) n→+∞ 2(n + 1)7n − (2n)! − 7e7n lim. ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ.
(4) A 8 FKÄ 9 ĺFK&( EÄÄE E"» EÃ( 2. x2 sin(ex − 1) − log2 (cos x) x→0 6 (6 cos x + 3 sinh x2 − 6) lim. ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ. +AN ºF. f : R −→ R. ĺFÅmJ ='Æ 9<= 'CÈ = EÃwF» >F. f (x) =. . 7 cos 1. . π x−2. . +8. sinh(x − 1) (x − 1) cosh(x − 1). H( (H. . Î #Ã(#&5"» = FK&(@0 #ĺF<H(H5 Ȭ FK&(@#Ç, = Ã5J¬FKÄE IÊ'J = Ã5 I I H( 9<= Ã5 = J' EÃwâr f A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ. AN ºF =>9. f. ĺF@ÅÌJ ='Æ 9<= 'CÈ = EÃwF = #ÄEÄ°!H(#&( # Æ 9?= J'"?#& 9 . x 6= 1. 9 x=1. g : domf −→ R. g(x) = |f (x)|. Î #Ã(#&5"» = FK&(@0 #ĺF<H(H5 Ȭ FK&(@#Ç, = Ã5J¬FKÄE IÊ'J = Ã5 I =>9<= '#&5 EÇ*FK$' EÄE EÃwâ» g A ÐÒÑÌÓÔSÕÓ!Ö×ÙØÔDÚDÛÖÑ>ÝZÞ. x 6= 2 x=2. Í Í. ÅmJ ='Æ 9<= 'CÈ = EÃwFG >F.
(5)
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