Mathematical Function Analysis: Limits, Continuity, Asymptotes, and Indeterminate Forms, Summaries of Mathematics

Mathematical expressions and instructions for calculating limits, continuity, asymptotes, and handling indeterminate forms of functions. It includes various rules and methods such as l'hopital's rule, ruffini's rule, and the rule of the degrees.

Typology: Summaries

2020/2021

Uploaded on 06/08/2021

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ENDIMION
REAHISSDEVAIRIHABKERIEAK
tuuuuuuuuu
DOMINI
D'UNA
FUNCIƓ
flx
)
=
x
'
t
7-
x
→
Df
=
IR
POLINOMIS
flxt
=
→
+4Ā„
Ɨ
-1=0
→
←
1
→
Df
-
-
IR
-43
Divisiones
flx
)
=
Vx
→
F)
→
Df
=
Costo
)
}
ARRELS
flxl
-
_
TE
→
D.
f-
IR
flxl
:c
"
→
Df
=
IR
POTƉNCIES
flx
)
-
-
logzx
→
§
f
→
Df
=
(0,1-0)
LOGARITME S
PUNTS
DE
TALLAMBELSEIXOS
-
eix
+
→
y
=
o
eix
y
→
x
=
o
LƍMITS
Calcular
lĆ­mits
Indeterminación
-
Ć­mfcx
)
=L
Ā„
→
lateral
sito
+
→
a
9
es
substituir
§
→
ruffini
lateral
s
"
FEO
→
regla
dels
graus
„1141
#
fin
,
→
#
lĆ­xmfa
"
co
-
-
→
multiplicar
i
dividir
pelconjvgat
-
limflxl-t-nx-se.cn
CONTINUITAT
DISCONTINUITAT
Una
fvnció
Ʃs
continua
en
a
si
:
→
discontinütat
evitable
µ
01-7
fla
)
→
aƩs
del
domini
→
de
salt
finit
µ
2-
„1,141
e-
„1,41
lĆ­mitslateralsinfinit
→
de
saltinfinit
"
(
3-
(1)
=
(2)
ASƍMPTOTES
y
AV
"
Ā”
a
Ɨ
=
a
CO
asimptotes
vertical
↳
recta
que
marca
per
onvalafunció
Ɨ
=
a
Ʃs
AV
si
1
a
no
Ʃs
del
Df
2
lĆ­mflx
)
:
Io
+
→
aI
|
,
a.
µ
.
.
.
}
.
.
y
#
za.im#o+esno*zon+a
,
,
zq
#
→
g.
qo
5-
b
?
Ʃs
AH
si
lĆ­mflxl
=L
󲰛
to
lĆ­mflx
)
-
-
ba
xa
_
a
>
AO
.
.
.
.
-
"
y
>
axtb
1
asĆ­mptota
obliqua
D=
d.
qtr

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mmmnmmmn

ENDIMION REAHISSDEVAIRIHABKERIEAK

tuuuuuuuuu

DOMINI D'UNA FUNCIƓ

flx)^ =^ x^ ' (^) t 7-x →

Df =^ IR^ POLINOMIS

flxt =^ →^ +4Ā„ Ɨ^ -1=0^ →^ ←^1 →^ Df^ -^ -^ IR^ -43^ Divisiones flx)^ =^ Vx^ →^ F)^ →^ Df =^ Costo)

ARRELS

flxl -^ _^ TE^ →^ D.f- IR

flxl :c

" →

Df =^ IR^ POTƉNCIES

flx)^

    • logzx → (^) § (^) f → Df = (0,1-0) LOGARITMES PUNTS DE (^) TALLAMBELSEIXOS

eix + →^ y =^ o

eix y → x =^ o

LƍMITS

Calcular límits (^) Indeterminación

  • Ć­mfcx) =L Ā„ →^ lateralsito

+→ a 9

es substituir (^) § →^ ruffini laterals^ "

FEO →^ regla^ dels^ graus

Ā„ 1141 #^ fin,^ →^

(^) lĆ­xmfa" (^) co - - (^) → multiplicar i dividir

pelconjvgat

  • limflxl-t-nx-se.cn CONTINUITAT DISCONTINUITAT Una (^) fvnció Ć©s continua en a si : → discontinütat evitable μ

01-7fla) → aĆ©s del domini → de salt finit μ

2- (^) Ā„1,141 e- Ā„1,41 lĆ­mitslateralsinfinit → de (^) saltinfinit "

ASƍMPTOTES y AV^ "

”a

Ɨ = a CO^ asimptotes vertical

recta que marca per onvalafunció

Ɨ =^ a Ć©s AV si 1 a no Ć©s del

Df

2 lĆ­mflx) : Io

  • → aI

, a. μ.^.^.^ }^.^. y # za.im#o+esno*zon+a,,

zq (^) # → (^) g. qo 5- b^?^ Ć©s AH si lĆ­mflxl =L to lĆ­mflx)^

    • ba xa _ a
> AO

.^.^. .^ -^ "

y >^ axtb^1 asĆ­mptota^ obliqua

D= d.^ qtr