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RoDRIGUES DE oLlvElRA
mando Limites Grafi camente
l-ó, utilize os gráficos para estimar os limites e os valores das f,rnções ou explique por que os limites nâo existem.
Nos exercÍcios
1-
(a) lim
(a)
];1-
f(:r)
(b) liry
ÍE)
(c)
!g Í(x)
(d) /(3)
,U flr)
(d) s(-4)
p(s)
(b)
,Iq.
p(s) (c)
li+ rt t
(d) P(-2)
2.
Í
(a)
(a)
Jiq g(t)
(b)
(c)
,lim. s(,)
Í(,,)
(b)
lgl -f(à) (c) [g /tl,t
(a) à_-ôli4s Nos Exercícios de
(d] /(0)
(s) lim
F2
I ô 22. Íaça um esboça do gníftco e ache o
limite indiedo, se exbtir:
se
ndo eristir, indlque o razÃo disto.
í 2 sex<.1
J-, sc x : I
[-3..
l<*
(a) lim .í(xI (b) lim /(x); r-lr-t I# r(.r)
3-t
/(x)
<O
2. ftxt- [-2 sex
[ 2 seo <x
(a) lim -f(x): (b) lim f(x); (c) lirn /(r) ser <-4
3. fír):{r+a
[4-r se -4<.t
(a) lim /(r[ (b) Iim ,(r); (c) lirn /(r)
.-_4.
Í--+1-.4
4-s(s):fi:: ;'_;_:
(a) lim s("I (b) lirn ds), {c} lim t--2. .-_2§-_2 x <2 se2<x (a) lim .F(x[ (b] lim .F(x); (c) lim
5. F(-): Íx'
er(s)
se
[8-2x
lÊ(x)
c{x) (b) r7lim flr)
(c) lim
Ha
(d) F(0)
G(.r) (d) C(2)
I sex<3
[lO-x sc3 dr
(a) lim r{x} (b) liln ldx); (c) lim
(2r+3 sêr< I
6- Irír) -[2x+
t. Í(x):
(c) lim
(b) lir4 F(.r) (c)
IS rt l
7.
á(x)
seÍ: I síi:lz Lz-2. scl<r
(a) lim
.-l+
c(r);
(b) rim g(r}
._r_
(c)
lirn s(r)
z-+,
í3-+tz *t<.-2
& g(t):{O r*t: -2
LIr - r, s€ -z < Í
(a) lim S(rX (b) lint e(t! (c) lim a{r) t-] 2+
,-_2
a4_2(x2-4 scx<2 v- f(x): la se x : 2
[c-.,
se2<x tai lim í(xi: (b) tim íxI (c) lim /(x)
[2x+1 §ex<t r(L/(x).'-{a s€x:I
[*]+z scl<x
(a) lira ",'(x[ (bi rim /(x] (c] lim.JÍ-{x) a-l' r-1 x{rI I
Bol,&,TRA,BALHOI