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(2) . "!$# % % &. '(*),+.-/(10. 2 !3 45!368797,45!3687;:<:=:=:=:>:=:=:=:<:=:=:=:=:<:=:=:=:<:=:=: ?A@CB/D/"E=!3F@G:=:=:=:>:=:=:=:<:=:=:=:=:<:=:=:=:<:=:=:=: 'H D/6$@I:<:=:=:=:>:=:=:=:<:=:=:=:=:<:=:=:=:<:=:=: 2 !3DKJK!IL+M@C DK7N@O ♦ 0P?RQS+UT ♦ 2 -WV,+UT ♦ XUX -ZY*)T []\_^_`bac<dfehgd ibjlkmon,p5qsrtuvxwzy|{Cy~}o{ }]_/ ] NU= _ss}C_b C 3 ,{Cy~}_>wzyK}> \/>`~df N`K>e3hge 9geh98sdg\_^_ ^] ffeK 5¡ `b9 `~*\_NhgC`Kd`Ke `~dfe$>eC`b\_e¢df3a`K£¤ ¥=jl¦ k§uq ¨v5uHvN P©lN£ª C]> =}K«<]}¬Cw> wyU}{ >sWyS C]wzwª{3yb]z|wy~_zy~£>{ |b®> =C]£¯£z °/ybS h_b}}]_> Cb ¬Cy~}}WyK}owy|}{ bsWyS]}}Wy~Wy|oZ}z«>]}Uyb__yb =SwzyS NCK«>yo}{ >sWyNj ±Nj|q§p³²´µv¶o¶Hqy~}¬ C·{ Z}wzyª}{ bsWyS_y~WySb CS 3£/y~ybwwzy|¸3 o >®b CN _· j ¹ jSp5uMmHqsºqsµ.mACyK}owz¬£} =3yb ]} "£/y~w_>wzy~~} _w]»b C__wwCwzy~} j ¼=jlkmH´¦ v¶H´tMuHvG½ a£\_^_e¾Fe3 deI*^Ka^_^/d.d§¾Fe3 fd¢d`Ke3^_e>e3fe j ¿NjSµv5´v5uvxw»f>®bwzÀº_b©l{ }b©l_©lb}zy|£_ww}z{ bs Cy~bj Á=jSµvn,pmÂyS£{ >_> >Ãi/¼bÄS©l j Å :PÆF@IL5@CB~@F@JK7< 57<4BK7*Çs 4 È="!3457. f. DK7N@C"7L.É3@CD/F@CÊ "7DK7N@C"7L 7>Ë54 B~@IL5@O f (x) = x. . x−2 x+2. 2. Ì D~@3E=E<F@CDK7J/ Ç!3 "!PLÍ DK!3BK!E=!3 "!, 4 D~@ ˳E=!Pγ@C B~@CB/ Éh!*L 7< F@ÀÇÏ 4 È="!3457 f Ð 48@3E=E=!3DKL !*E=!34D/"J/ B~@CB/ !3B/BK7<4 B/: Ñ 7<BK7<D/6I 4³@CDK7 ML !36I 4 "!8L f 7=LÒ7<Éh7<4B/³@C J/ 6I687<B/D/"7 : ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ôßà_á 2 @C"E=!3F@CDK7 6I B/@C F@SÇsDK!34B/"7<D~@°L 7<L !36I 4 "!P7 L 7<BK7<D/6I 4³@CDK7|7<Éh7<4B/³@C @3J/ 4BK!3B/âÏÉh7<D/B/"EN@C Ð !3D/ È=ÈN!34B~@C Ð !3Ê "Î ã|Í7<D f : ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô|ä à_á 2 @C"E=!3F@CDK7åF@æÇÏ 4 È="!3457RL 7<D/ É3@CB~@çÍ D/ 6$@ÂL Í 4B/L45!34RL 7<D/ É3@CÊ B~è: ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ôßà_á. f. 7RL 7<BK7<D/6I 4³@CD/457å PL !36I 4 "! Ð <E F@3JKJ/˳EN@C45L !7<Éh7<4B/³@C . Æ B/5LF@CDK7SF@°E<DK7=J~E=7<4 È£@,7|L 7=E<DK7=J~E=7<4 È£@*L f Ð EN@C"E=!3F@C45L ! Рγ@C"!3D~@,7=J/"JKB~@C45! Ð Í 4B/5L6$@3JKJ/ 68!é 6I 4 68! DK7<F@CB/ Éh!$7,Í 4B/L.6$@3JKJ/ 68!é 6I 4 68!Õ@3JKJK!3 BK!IÍ7<D f : ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô|ä à_á Æ7<4 È£@9EN@C"E=!3F@CDK7,F@9L 7<D/ É @CB~@9J~7=E=!345L5@9L f Ð L DK7,JK7 JK7<4B~@CD/"!$ D~@ ˳EN@C687<4BK7 : ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ôßà_á. f. @C6I687<B/BK7*@C 687<45! 4ÕÍ 4BK!ILê³7=JKJK!7ÀD~@CÍ Í DK7>ë.
(3) #: Ñ 7<BK7<D/6I 4³@CDK7. Ð. inf A sup A. 7=LÒ7<Éh7<4B/³@C 687<4BK7 A=. ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô5à_á. (s. : Ñ 7<BK7<D/6I 4³@CDK7 . 5!3 h!I h7=!3687<B/D/"E=!xL 7< ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô5à_á. : 2 @C"E=!3F@CDK7 4. C. Ð. min A max A. 3. 1 − sin. z∈C. . Ð 7=JKJ~7<45L !. ) 1 , n≥1 n3. B~@C ME57. |z − 7|2 + |z + 7|2 = 2(z − 7)2. B/ B/BK7*"7J~!3 È="!34 ML 7< F@IJK7< 57<4BK77=γ@CÈ="!3457 z 4 = 3iz. ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô5à_á. : 2 @C"E=!3F@CDK7. ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô5à_á. 4(n + 1)! − 21n + sin (nn ) n→+∞ n! [log (2n ) − log (3n )] lim. : 2 @C"E=!3F@CDK7. C@ .É3@CD/F@CDK7*L : ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HαÝHÞ§∈Ù£ÔR³à_á. :PÆF@. β∈R. : ÆF@. f : R −→ R. 2 p lim xα/2 ex − 1 − (log(x + 1))2. x→0+. F@IJ~7< 57<4BK7,Çs 4 È="!3457 O f (x) =. x2 . 1 xβ sin + 2 x2. JK7. x≤0. Ð. JK7. x>0. :.
(4) Ñ 7<BK7<D/6I 4³@CDK7,Í7<DSγ@C §É3@C"!3D/L F@Çs 4 È="!3457 B/ 4 B~è8γ@C"!3D~@ f 45!34åJ/F@E=!34B/ 4β³@:. f. E=!34B/ 4³@ 4. x=0. 7°L"J~E< BK7<DK7° §B/ Í!9LL"JKE=!34ë. ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô³à_á. &:PÆF@. F@$ÇÏ 4 È="!3457IL 7>Ë54 B~@L5@. : ÓÕÔÏÖN×UØÖ=ÙNÚÜÛ×HÝHÞ§Ù£Ô5à_á. :R i πf π h −→ R − , 2 2. f (x) = 8x| sin x| + 1. : Ñ "JKE< BK7<DK7F@xL 7<D/ É @CÊ B~èL f 4.
(5)
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