Lezioni, Analisi Matematica I

/\- n ,Ìf €fv

t) Îno

{ srea+fortí &4f , feXilÌ "/A

gpgpelr,ec,e.

. bÍ

Atslo*,a,

. = orl =

Or?9

è,ttl,osrp.A

VloN? --- 4- .

rroÌe,bti\rÉ1

e.t+s Îreen.

O t+to's D{

ùo0Qe.

€srvp

ldDìwgrea+lone I

Cf{ESeerr-ig

o .Sre-e-r.

#or,rtcgvrs Dt

I Î

'L)ù

'. l -J.

I \ . Trer64 Dst- i

1ùptr; l.túrvo1torvn.

[e O{n

uoxralHocre, òsuu'ss\

lgesgp

\

.\r prre

, tàl glvtarh .

e€L ù

t{Bsi-fi^úloffs-

. Au

friseeuto esrtfoRtte

HoSTPA+{orvg

%rrtirrf

uif*'

Dt {rc'P'

nruA'

t\cn i unn

x

' Dtx,osTp*r{o0€ furyf\p/vTo. -/Dlt'{oso:

DEL

l&ioegvl lod

'. p

tt

\ rle

uniirn,uo I

@61

5uE eoNt€G,ugtYLrt. c$eU

F J

4l* wLv=-!,

fn-'o

. DEf uùruti

DtxosrÈAtlorve forevor.ù

. gean

Teo?Ev+È ftutlnepr+ rplt<csrn

Df o a

È

o

DIfl ògc e{o/V|€

sre^t{or€ Ocp(I/(elo

.

-ysoeEl2f gEt ps6ù

ol

, o

E

S\EîrtA QoQouÀftl

ltoSeAGfor,€ íEpÀ .

D trrilge 16

fhF,o oe& 6e DeR,rr'Aròrr! cerîruuÀ

à .

ì

;

" ,f f

. n,tarsvotl

lilotlfa.rr"úorrrli

D vATe

Dept .

r/D r rrpsfeAlfor€ N Fr;al;rr.

TsDRrltA r>{

reocrr+l- Qovr,

/ DtH.pxQrútoF's .

4 oorfsEGu€:

ilogf rt€

è tqE

tAqp^^/rag

@t

ol Ì'rEoc€l{^

/ tvs

}.io gR,

rayg{)

,veu.o tQr

oc A.*

DiFobrger{or-vg ?ee TI;:r,AQE, A

Jvìweeq

" '

gGeo0{

ofgosr,crruronrd,O =-

où^ ((r-rb

EIU) o

,1tw

trro4rrh p6fon'*16-.

. g'

tL

Juc

Dt Ho nv'luiero

5r?Agron€ fac-e-r*è < íorv

yíp.ea

, @èe€*

JÈt €AGG: o

c

r Dt -,t

. enù

/_rri *#* Z

4yi:i::?u

tbwou,oú -t

Y A .ll

ggrn evilu,ap

Ntu,rtlNú p-wo"la,u.

deea)uunLL

! T'

€eru R. I

Htct(lto1èQ,t17g - (e.enetno)

Inru}n-ANre

-;

.ftoepreql wttenl ,runee'le) t7-,

&aù - (t

r rar,o ,tJ.

Lr n Frrrllc.

i

4le^le^.cî,)

tttX (

lu^utr.

\ *zsf*er- tî l,r:l).

soHpLErE&A

, oe I

br fèerù

fssfov sup.

d,

gorl"*

ruPx *td

: -g4

:

^3,

. feoee,etÀ D\ l=Aupx.

@fx el

f* * *f*,1-Pgofn.Úe

YÈ

ln"Xl*>y-E -+

de)o eù

dL pxlurq y

,à) cnom

@ RoJtor.rîrbùsca

u&orao L

4*c; ,a,rarqprrowtt\\.

.'

. Fuvgiorrù f,A-rff.

rr 4t

'

h = t)ot+t(Ylo

-. ft (^

/^r

{rÒ

- (%4ontrto

=

-rr--"*-lW

-,zl lv4

lNt1f

4s;;;,

\ ar,rivoeA.

\A - At. D

\ - r ^; .

\; Lnoq 4',

-P rm,rflre

€f

ry$ggjg1g- ;f-rlrt'i^cror ,?îl.d,.o ,6'r1{PlQ.1

àeL q+ar,ohornóíg

a!!A tl15sriuc:l' 3n

4".í

s€

ed"i qfu fv/.

r,o,rerrttbil, t^Ítlv

' e5f pxfrWo_.

lf r,.

Rr rrqeCE

' 'g)-'= 3'

"

.(E l rttT-AÉ

ll

o î'uleplur-o \ f

!-trrtnyqry'

*ts.:'re gbl o

Jc decetcitnae,

crcaccrri?

-

ru,*zi"^.E \ S&morr^a,fit )

-2

A"

/

\ . QAr^,

pt'*rooe

. rmietlirle.

7t7s e

bscResce -l't

Frryet"fe Pe@o"tU

"

- t, -)

s" -> l

zf Jt

,( lllf

A r

$ è roí?-^*tùo

(,nvoailrle) Cf

r' , l-''

6,*f,u*

'l î

=

tr

Ia , Y'!*,J

Iú,rtl*'A

=

(o,)

n f,^r

ré

$u" : s i l o

€ 5 O N

. FuNtùoNE

Lr pnosoq^L,e*

o rn

îe

b ri-ÍrB,

îu

n, fuJov^tt,rf".

4 u nJr*t*-

fueesgfoFnt ?PatCtrcG. 1 /m:jfi'

wv€&o m

\ f l*n^.

Sqlx\Trvn.ttrxt€'

l =

q €tnttp

r>i el^) vqwrw

Eurcs<EtonrE

ur.rl

/r*,.4 L

/i'Jt .J

q- lr'*tn L

u)/va. tuccltw{

Qrn

*" --r oo 9z',

$

lùt 4t* op= L.

ec

+

I-+ Ll.l.

,,,.'tnu

L alooeúQxe

rx 1otrslet

?* dev. lo*-

wuftetw ,&)

,(l,ute

r&

vu$aw

tcoudxl (O*odo pa

F

laeic

tl'L qr"r

(j* ,

eu.

lh +at{e.

cceJxr L (of

n*

rn

puÀ I

ryorndo "t^il*)

"*, | ^-

l*^

.V.ovt

dlsSiu^t, r,t

L to

gl2

.,meulo{l.l

lrouo Un eoutfiL

o QftUlltp

L*p

ùr& L*fn

"ì

u.ctco

.

lL L\rurg orsest-o

e

€E\st€

Ja , --

gvcce

sslo?rye

A o,

s

0N l

là{ Do

ua 1oo

. € .(r^

P

Terroe, flpt

nire

LI cn-r*h

eK *")H >fi

lu ]n Vrn

\ ,Q [r"^1.,[t

.EKS zarstt

Atlox,o

lmero-romA

% n ,

0',,'. l" .

o rr"Jrt'x

: L

q,vr

Iu* fra{o

-P{m

/î Le(-

3" *Q!',x.o

ti lt*ilof,o

sup.

CÈsScgrvîE_

<, e

\^ L R'

-8" ,,vs+o'la

,01prn-

,.9 e

,;l

/- CEcC-stcsilr€

Q

'?lo"l

C, l-

h-

g/

(g '^/

L= ln'l

.stÈAú{oîrg

lvs

D ll

et"f. u"lofo".

" Qú uuot'6e =

,L s*e n

' o!.ln

o

e/^,lor,r

fu l."t

ìssi =

e,,n L 9fl".

!l*

-à +h

fl ;-^gl,teaú) Letl

bf r;ffia,

,ht

l* us?f,L au,7n[ortt;-elTe

d^) sono:

^r

ú!.

eoo^ilHornl

&

L=

Lln Y f.,\ mol)

aut

I L>a,

{n

@ g

L-

'rn

) {n >m

Jt)

{tro \ur(o','* I

a@ tkl

q*1" *

LA rt"îo

gtl v,w

d^,

a>tc1-

$oxaprdx ""&t

'f,, ;u'talfroY.À

4.sno

eh-

hn,t P J{

Vl ,+"

la Q{o

DnrbA.

\

r

n - ^ ^r \ , r .\-l

I'I,T

I I

{IMPILIETA LT

I

DE

I

l--l

il lvtvtr

t' t..-

@ um|eA'

A

Lf,tuúte

ryl rU rtugQ.ett{agtf. emtte

rra

tt 4-t

- i

-?

qcn Ò

A

@ < -

te b m - ? ó .

u

b^) = ifl

Eacro

t- B

B+B

o A

er€.

(o* ng ffn

-ú,ru (tobuu;"-

\ |

a

to

b Ltrno lc'mi

m->* (-/ i

( uÍ'to o b . t

Ir^ u

bm q,un",rl,

5

&nn, lrarn,,

[-g

v\ 4:exn

nn-p+ A

8n

l4* .

trcune o

guorol," t-o f>p,.t)f!_

,

s ovl

bc, 6 o

cnrtr>'r nt

WrÍ,

Cmtîat

fn+tU0 o

.

rr ?ùrvro

i urr

rÈlors DI

r

ry{ trl0

D.a îNo

ot

l,r, ortí

vuzf

F L

-hu', !'4=

@ X-rf" v*l o ,

(t

I

fvr*,, lf*-tt lr-f"|,

J

=

+F

yr"{*t

[Ò 'W, rlc -f"t(ò

{ x

I o l

1,,* =

L

"f.q

,Y++oo ),41

- L

I{ {n>/V

<t

f'-,

z>o

,Qa^ =

!u, * 0 o A

V-pth

,l Ia

/flrJrr, Vn)/V

fol d!4U 'pîowrl

qwslz l,tmy,r^ayYto

,€

@m

fu.Do

^^o >ezîveta

Possrq^ !1u'

UrulLxrRer.ù

{,ì*:,ti 'N_I N; aY-rr,

o

-Ll .

.s lot

r - t

dt J

>"\\>o {w

W.

*:@ I r[.s V" o

/\L-

*:@ .

xo(.

wr"r'ur\tew,

e

L

t-rwùrg

vroN6 TLA

R.,^

IW- =L

( lxtI^'

L

A* {q=

\)

-rfo \

tr L.

0ù^-

._

l.r,--

-e/o

r rffiwo

u.,(

SoamtNùA lto

frre,o*n "ota | ,g"no,r'^

"bt':'U o\rr-s

t.

.

,A t(

e

p,thn, u J'

U W.

frn

@cntfrnua

('^ fut. = r

oweo' lul îuù

fu, "(o)

v

)(-c lc goflroe9€

lrì D

É.rs5,.0ruo

4

%rr;nru

'.@ xo

ìcn

onùmu.o

ù

h f tm

gDc'frJrnuA

ì' ft*'

@ A irn

@rurruuR

à Xo

frtlntn A"f =

g#"

2(î"ù

fl({".ù

:

Yes{ =

A':

a)

lL' fu fcra

,/ J

t+(.o ({""ù

a

=

t) (oî.,r-rxctr -iigo .lActg

of

.JlrvcorAg.trÀ

S|.GI^E

4^

Dr^tattt A rIît I lut

ur y

*t *lí,

lY'lJv

[l ' = L

(cg

,l,rl,rtt r L-

Lrl

l-x tJ

'nl:, fq=L'

P *qouanirÀ z^

lf o{ s?ecte

l lnt* I=1oo

lcxS=L

r

X-olto '

zaisl"rs

L

4 N..îî.

-

Lr

I^l^u &U

v

/ f-r)G

( el' u rr

na

r

u\ I^t

&tl,.cro

t4 €u )

,(,r,u^. lco=L \ LI fcrs

;:";lr,=,)

v,,*,"

ll

X-v Jetíw e otc*t fvn î*;.ra

Luú,

,

tl"Y t-to

mat

,N yaTo @l'v-hf

l1nolc.(cruuvvt , /rr-o\ ,u,

epn n"In*

?p*t otte.*po Lf{$

f,ruzr"t<-., ,"j*y

A" fnofvr

{Ia-

ànw ur"nc

f.lt,rr^r^ Jr'

: Ic*S=

fAo{ fu,

-?

o îrI

P9N'9.[ =

- ju,

:

Dfseaaj ltrt

CcrfFÉ'o^fÎo

.òet-

Tg:oP,euA inTwnrc

-[u le urw

L '&'fr n u

q$€rLo

o(ò ,

f*ggorrlo.,*ro ,,

f,

5*'orl c

fm

ele*fruatrWe

à,t'g *rc^r^e

, at'ìp

(L'"ot*

,

,,ct) \îwcmo

Lul im v,-,

L

!

fforet{: "tl

l" ")

@ frr, = =

L

{,,,r

@ fu, lX

!:" -Qroru

EÈi ecr)*L

An."k

" u

l+c [t6rvo

o\ L

QeoYtAlt€rr?A

D€

Teoas,Hn

gr-

, d..,r

h^ e^^^

= h

rzris[e urn e

rrriLotr^o rfi

o olton

L

l.*, +

v I

l-v? rlll L '

/r3rfi

stqa'ro

Lr.

,lur,,etocne t$dle

t'ftmrlt

o{ne,lr

o{ne,{r

eo^rr-latoxe

orne

.)o 4T11.e

4T.*e

= eo

a 9u*+{

L euò

, c

im\pr,vno

un

vo0t€ "h

luot^^1w

JbseEL, =

4,uu u-l !. >o

4

l-t lo

rE6r

, xJx, $.*t20 .

&aLuAQIo o inr e 1

d-d

à ! v)A I nto.,",,n

ft lu, At/oq

'h^* L2o

L= Íu,

E{ bt6ù +ad

€Eisr€lftA

IeoB€HA L

{ tnîe;uú-!o

wna !!'t

rn [n,{

@rvrtînvs.

3, "fU

!,'^*rope

f*l -

q/vaLuu.e %.t.

otadrreio.s,o

ofun-

rnlpt,O oh

eòîu/AuÀ Òe,?no gaT ,

r,rM

o?luu';e','*

etorfie od e-!&

(cq--o

c hle

(n,b)

ftS""î.ìr:rfie

f* !Àr';'to6

el'w't'to

e

wfarclln

?u"

defr'"'th

,Ln,bJ* A

.f

b^ = eornTt

mua,"

" !u,

' '"

cv1

f

,fc")

@'Jc l"r."t,

eG,b) !",=o

'Prur+w\)

wt /ew1)

(rroo*n eorrriNu+'

a

J" J'n*R

o.eT,bet,6fr

1 Icol!(b) Iw

("t^^'g*t

c

e ,j}ul),]

-, Atloro inu.ur4xo

3e- ?îno\ Y ffcol

'a. u =Y

e'll -

o b +"2L

zb fr",

"o)

ttiti

Lt lVoTEww Pt'

.

Vr

-4*

(or

.(,u* { lt=

Cn

J

t

fn-p+r t"f

&u, =o

p-r+h fYL /ot^ FUNEìOntt

ntrl fvole

Lf

.(,lt- -

M -'ro

'l)'

z

É' x

,rt

8{m

x ,L Y

x

x-,.o 'n ,

A , ,0lu [, !:r*(';j'ln-

*Àln= ol Vae&

;'(

.l-r,.* \

h

[4*iJ X-e{

tOo

l.+

,.h* ^l.c

#=+ 4-?oa* *-ro

î*

2

t

y-ùo =,L

!r* +

'

x+o @-=d,

b^ t

h+o

.h*

, 4r("" d

*)t=

L

p+{o tu

Qd [r*

,

= 4

. !? lng = *00

l,t- x

+or

|

0a'

X

X-?o I

-

-Aw (.t+ r1L t = 4

Latu

+/o" Ur^)x

elL

=Q ->a

y

tL

X-w ù-A

!rt*

, x ={** o

x+o J-

- Etrr+/

I -6

,Lttn I

-Èo

y x3

lyt -_

/L

&tu' x

f-t0 (#)'=

|

,h^

f-tts t-r,

,lnglnatrc HiTt

rugf

Af

, €AtlbtAftgrfro

eb:

/ Pne Lo

,!,ut- =

q cx)

@, a

X-Plo m

\e,*tl'e l''

aîufuPalenfP

ot,,.,

ù" \r^''|

Ìrn0"oYno

ìcn ["

0 +

Eq I

uat+{0tt

ùt F

aîo .o cALs

Pgo

@y mlimrb'

q'

i C*)

dloexy'uf

zoa.ner*aal)

r*.tomt ?'ú

J" f,r

"i#*t* 4Ce

rulP'n" Ptar+e-l Í@)

.!.or^, = 4

r l''A x+a 8Cò

\ { tec/^ou

o

irrizto-

ùef --È

q

f f=A+og)

"r b

UO -L =o

,ls*

"c',)

ì4 fll^

!'a"= X+e 6ctl

x+c

Nìrrr

tntG-f

@nen$n1p rBA y-F*0s

(ì)

x=o

.(,p

l^la^.

d>o %=o r

X+too a -r*h

--

h^ Y

{

5: "(a, f-

-++00

y g

Qorefg.rtto lv.F /vìTgsltd.

r

è

ù.'6 //V€úlArs.

TA.A TQJ"

Ror€Nt

-6u P>^ f" [rP/

>o

d,9 \o "

{,

y-+*0l .e C=.Gr)

,flrt

=o

4

0tw,

d,0 )D -Ìd

x (rt)

o

d)fl

#=o xd=

h"u

<o

d,0 ù O

r++ r)0

r,: .o(tP)

o f

a hn

ó,9 o'

F4 o

0

'

i'rI

tilF

Ù^'

R

fl.lE?gso

PONd?ALg

Pler6 g*neîo

(f oR

2 ùfr6

x.o rtg

ire$

rv

tN g.,,,x-fc'

' ; j=20"6)

qrufne

h" lox-'e

A

f"t

3 r-sc'

(M W*rJ*

it ?,,*r-trrrt

k''d

,ÚA"

= UJL.I

PF. n

uo o) ea!f,orve.

d r,.ùofino

rrit*,\vutr,. A

oo\,ùpe

d, -f,on\f

f.,a

" I f

-Dè'

À

0*

A ,rfr^,lerr',"-

f"'l'

^ {o (*'"irlor';í"aA

1",'ro r rni

,

x mf ul

ú lxl

o ,rl -r"1

x

I

L

X" -lt,\

lr L

^

X

+h L

rl lrl

I,rI

-N so'

EEoù

ItaF68-A

' vu^(o

?t

l'"8) f="Gl) -?