Limiti

Notevoli

Limiti 1)"

01 (1

In x) loga

tr en Im (1 x) +

se + 1

e +

+ = =

=

->

X 0 X en

> a

- X e

h = le le In

= =

x e

=

CONFRONTO TRA INFINITI

Le ard(g)

ad(f) =

= ord(f)) ord(g)

<ad(f)

Md(f)

↓ Confrontabili

um

=

X > y

-

CONFRONTO INFINITESIMI

TRA

= ma(f) 01d(9)

=

Im <and(9)

od(f)

and(f) (9)

+

d

>

tr confrontabeli

re

= non

->

X y

FORMULA TAYLOR

DI

I

f(x) IN

acIme

: f(m

- f(m

f'(x) -

f"(x) (x)

, Placal fas fill

Pm Pical !

fical Cm

P(a) fial

Pal

f(e) =

m

= =

= =

t

POLINOMIO a)

a) d

a)

Pr(x) (m(x

((x ((x

(x

C

Co +

= +

+ +...

+ -

-

, -

-

Pi(x) 1

aja

m(m(x

D a)

3((x

c)

2(z(x -

+

= + +

+...

- -

-

P(x -

c)u

m(n

e) 1)((x

2( 2(y(x

3 +

+

= +...

. -

- -

:

P( m(m 1)(m 2) !

1

= m

=

-

- ... Al

Prfe) ficl

f(d)

f(e)

Co 22

2

C =

=

= =

=

f'(

f(t)( ...

A

Co C

= = =

!

1 fed(x

Pr(x) (x

f(a) +

((x a)

2)

2)

= + - +.

- -

=

f(x) Rm*)

e

(x +

-

f(x) [ I

: 2x e

x = fax Ja x[

)

↓ ,

↓

5cE] x[

=> a , f(x

=

f(x) +

a)

-

( + -

1)

(m !

+

f(

f(x) f'()(x

m = e)

= + -

f(b)-fi Acce

= trascurabili)

(sara quelli

infinerm li nure superare

>

-

0b(1 0(x)

x)

x x

= +

+

= ↓ 2x

(x

x

= +

- + ...

f(x)g(x) X Xo

>

-

Im fx ha

x f(x) 0

=

= f(x) x2 X > &

= -

x x3

g(x) +

=

hxx +x

x

un ok

= =