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(3) = Ñ "%D*"%(5$OFMµBE(*". Ð. inf A sup A. "?Q "%#"%¢D5SµBEIM$;"%D*". ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ù  äeå. = Ñ "%D*"%(5$OFMµBE(*"'FMI4IMS:9#O9#"?:$;"%D5(5FHG?}Q)"%9IMF . ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ù  äeå. Ð. Ð "?P*Pƒ"%Q). min A max A     2n A = 8 arctan , n∈N 2n + 1. z∈C. DƒBEIMFRGƒÓ". (z − 2i)(z + 2i) − |z + 2|2 = −4Re(i(z + 1)). = 8 BEIHG?:IJBE(*"™D5S)D5D*"0IH"0P*:IMS)Ê?FH:)FLQ)"%IMIJBP*"%9S"%¢D*"<"?΢SµBEÊ?FH:"'"™P*G%(5FM#"%(5IH"0FMœÉ :(5$NB;BEIM9#"%&)(5FHGTB . z 6 − 2iz 3 = 0. ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ù  äeå. = 8 EB IHG?:IJBE(*" .  n2 (n2/n − 1) log 1 + n1 lim n→+∞ log[(n − 3)!] − log[(n − 2)!]. ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ù  äeå. =VÈFJB. α∈R. = 8 BEIHG?:IJBE(*" lim. . ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ùµäeå. =VÈFJB. f : R −→ R. x→0+. .   2 7 + 3(sin x − sinh x) arctan x xα. IJBOP*"%9S"%D*"2ÉÏS))Ê?FH:"U f (x) =.     . x4 (1 − ex−7 ) log |x| (x − 7)2 6. P*". x 6= 7. Pƒ". x=7. " . x 6= 0 x=0. Ð =.

(4) Ñ MF (*"P*" IJBYÉxS))Ê?FH:" f ԁG?:¢D5FMSµB²P*S)IP5SVQ):$OFM)FH²"?Q"%#"%¢D5SµBEIM$;"%D*"qQFHP*G%S)D*"%(*"¬F¢D5FMÍ)FQFQFHP*G?:D5FM¢S)FMDƒé ΢SµBEIH:(ƒB f :çP5FJBG?:D5FM¢SµB= ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ù  äeå. ,=VÈFJB. f : R −→ R. IJBOP*"%9S"%D*"2ÉÏS))Ê?FH:"U f (x) = x2 − 2x. 1/3. Ñ MF (*"CP*"çIJB ÉxS))Ê?FH:" f ÔCQ)"%(5FM:BE&)FMIH"CP5S)IVP5SÄQ):$OFM)FH "?Q"%#"%D5SµBEIM$;"%¢D*"ÖQFHP*G%S)D*"%(*"XFVD5FMÍ)F²QFV: Q)"%(5FM:BE&)FMIMFMDƒéN΢SµBEIH:(ƒB f :çP5FJBQ)"%(5FMBE&)FMIH"= ØÕÙÏÚTÛ[ÜÚ?ÝTÞàߛÛLáLâ©Ý!Ù  äeå.

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