Esercizi Analisi 1

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G)() dx)sinkt sinsx +sin = _ )(µ ) f-fcosx)sinstdttf. f. ± Csx cose) =-=cicost -- 2ho7. 13 t t'rinx cosx= =x.co/sx-#,dt=fcosrxdt=fe-sirixdt=Ji-tadt=fedt-ftzdt=tScosse // cosi dxde × cosa+ cos == ¥ =-§ simxsin ×= - / # ledx147. t'.net -4e =ftp.fadt-f-fz-fdt-ff-edt-z#zrt=i okse£- . 1¥ (f)faraoni=7. 15 / ÈSÈIK FentonI Èf." * === j = )) (TÈ( rissaftp.T resoetanII aretan§ ) vsaratori .. ==-. 53lbrnFa =7. 16| t' dxZXte se4.-4×2e = =- -=TÈ Shade aredt-fjedta.az/fdt=-Ia.zvE=-zre#SEE .7. 17 t'tesina cosea-=/-1¥ I1¥ :# #::" ott« « = ., la affetteall:*I # D==/ # at -- -:DIhl= - 187. Italia ( ) È£ok arcsin arcsim==nznEoTEeEEzfzoEtEg42131221434 )TESTè-- × X §- )µ- ¥logxzx"tuo -me .+× 1x2× - logab×× bC ci--Es- 8× ?xlas× " èf ×=! le× >xx StigEs Stg f.1

' g-=' )§ far xrex-zsjej-xrex-afxex-se.dede èNè;gg =-= - =xzex-zxextz.ee/f=1.e-2/et/2e 1)( 0.1 2. e -20.1 2-- - =-Esz !÷!.fi/--ffinE-sinfED=f-ÈÉ feline HA"me ". -':Es 3 f (a)f.7 Xof fflat (b):[ =Db)1 R o→a. < c. .f (b) VI. NETETEf (a) 18 O>= == fI f.t.c.fi intervallocontinuaIintervallo Rdi R èè→2 unaf.f3) b)fa continuaR Zè assolutipunti di minimomassimo→: e,Esa F)(XE Ft (a)line a.=-+> • ) FÈ:X !È( ix. xx x === - -- à aba baÉ ÙTÉ 'xsxs.ir#xi ) babtb '(b)( cit) a a+ =- -.= - =. 'ist Xlla ++ 2#+3/+2×2} #+3+2×2 ×- _xsxsxaxmtxr-xoteuxu-xht.net= = =te, Epitaffi )FETI"+ -2.ie#=IEs9= tenuti ° f" e-sentite n t- =2 -fingo . ==}logntn slogato )5. (g)o x L' ttòpitalden f-¥SÉ-eoline - -= = ==→ no ma3Es 6-x2 2X2×+1 > -- FÀ1 43 s-2 -2> -2: -NÉ1

-1 -32-2> >:- :X 1 -2o 2 >> -NÉ1 1-1 Os: > -NT usoo2 ,:-20400-40+1>20-2 19318: FÈ-30 -3231 >: > sa-EssX dttzfo~e-t.lt;%ef-tzdttzffi-e-ti.lt ) t'e-£-= .:#Ie " HEINZHei ti" -- èè e-e- 1£ a+ ⇐.- =2 ±' ' "±:[ "" E'+-'f- e- e- la derivata)fi § ann -= = Ie :p.ee"" "±+f- ) fè" Ia --e-III. =f-an . == ± O• ~Hòpitall'De I.'I. ± "" "-è e-) )f-tre ¥)# Hee+ =.È #t' " ' T.it#)=e-.+e-t=ze-t=eèe- C. )€e-+= -.✓Es 7 nzx Zcosxsinxii. =fcx COSZXPolinomio )Madonnina sianodi -2 Cosedi 6 diordine sinzx . ==!f Ànn? !fcx !'fcotf) xntrnlo.itcdx Ht+ += .. . LanvinFormula Macdilink'f di sine2in cose rinx cosx cosax -= - -"f )xitzcoszlxsink asina (di = -'" )(( )f di sinzx sine))sine cosxta cose-2= --( )) ( sine2

ZcosxX 2Zcosxsinx- -sink )8 cos= -"f " di 8sine ×cosa tesina×= -È fzcosxsinx) (8 )-18 cosxsinx×di rima -= 161- +16cosxsinxcosxsinx-132=°'f- )§(e) sincosapinze 32di 232= -EHAH €tanto °0-1 +to0 =- -= →- 7045fa X2 §) .a ⇐+ ×+= -Es 8 l' "84 lafcx4=+2 ) logab.ec ac#+ so =2£fatalona 4£ fcx 1) =3£"3h08 91flx) 1,5=9Es slogntbn" n }Mteam -2M= =? I2limn 8In o=» 5him n"am -teston >- slogntm TÈ )(2Mt 2×3aiutoline #lineline == =+ to (→ )# txslogxs}slogxtx }+ ×Es 11SÌ alice Per ?ok quali valori converge,+ )fcx (positiva) è in to2 , % 2<1→ convergereperEs loaxtbcxtdfcx ) = () CI)cxtd a ad( axtb bcadbccfig a. - --) -= == )czxztdltzcokd)( ( )(2 cxtd 2citbcad ad bc0 criticipunti- =d)( 2citad bc ad bcIo- =attese test 26111← ×× a×- ×Es 2'2) E No limitataillimitata inferiormente?

quindiperché è0an0n ==È ?4) 1decrescente 0,005n un == = è# crescenteUn2 0,019n == =1) ?Ha Estremo tomassimo superiore =Es s12×-11=3X - 12×-1 z0 22×-1 0e1 £2×+1 n2X 2 X -2=3 XI XÌÈÈ×- per== ---(-2×+1)=3 ¢a a nxcfn3×-1=3 sx- = per =Es 7 EE Eeos log:=Es 8( )f R→Ita:f. )( × tsx= logx ×U-¥7¥71 =3 +× 3 xt •= =+ logxtj-e-tottfz.to¥7 3 ×, )¥Ug) -( #fieno ¥ 3kt3sit t s= ==. logx× #( # ¥7fieno asintotiNON HA97top IO=- obliquiLEDe l' Hopital X=Es 3 fa feg (% )È ¥ affine;'dei.de #; ?; × ; ק -.= =- -- !))seEÉ .ie ¥E E""x. #×x× =-[ - -=- -( (E) E) feceE f-of :po+ = - --- -Es 4" )( )fandom ⇐(E)§ fandom ardanodx == = -I¥f- o- = 6Es 9x2ex - " "f l'pm f f '' (( xp( )xD koIN )+ xoxox t x xt+ -= - -0 . ..× =0 .Pn °

ofè "(( ) 1-(e) ¥11 fux+ xO +x - -= - -- = -6z" ( Ezer)× -¥ 1ex -e -1- zx × =='×è "×, - ( --2×5 1e2e =. . - ("'f ' × (" ) (1-4×+4×2) )×) è( )fate××to -e2t --e zxezx1-= --f- 4)1 1+ 1 1 2 1 s= - =- -... 01- o+ 15Es lo G-fai ) "sxx=÷ : :: ÷: ÷÷: : ÷. . .256-Es 11 ?=/latiI dx logxEssa ( )flxtlogx ¥1 Oita- lagerlogxi 2¥ II< -- , } finiate ,loglogxaXa Xixese >> LXL÷ le<⇐ ?CONVESSAVACON Of- " f"Chao so'f. ' Èin = × - ff È" "ftp. (CN ) co×= - -+ tCRESCENTE CONCAVAeEsceche-1xz " x2 1-11-2×2 a× ." 3×2+2 CO× -t x2=tz -3ft 02 ¥1aNÉt.at 3¥= =t te tal«12= NE Mi 1X× = = =xche1 a