Nutrição

UNIVERSIDADE FEDERAL DE SERGIPE
CAMPUS PROF. ALBERTO CARVALHO
´
DEPARTAMENTO DE MATEMATICA - DMAI
´
´
MATEMATICA BASICA
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PROFESSOR - MARTA ELID

Lista de Exerc´ ıcios 1a Quest˜o Calcule os seguintes limites. a (a) lim 8(t − 5)(t − 7) x →2

3 h →0
3h + 1 + 1 x−5 lim x→5 x2 − 25 x2 + 3x − 10 lim x→−5 x+5 t2 + t − 2 lim 2 t→1 t −1
− 2x − 4 lim x→−2 x3 + 2x2 u4 − 1 lim 3 u →1 u − 1
√
x−3 lim x →9 x − 9 x−1 lim √ x →1 x+3−2 (b) lim √
(c)
(d)
(e)
(f)
(g)
(h)
(i)

1
3
Respostas: (a)−8; (b) 3 ; (c) 10 ; (d)−7; (e) 2 ; (f)− 1 ; (g) 4 ; (h) 1 ; (i)4.
2
2
3
6

2a Quest˜o Suponha lim f (x) = 5 e lim g (x) = −2. Determine: a x →c

x →c

(a) lim f (x)g (x) x →c

(b) lim 2f (x)g (x) x →c

(c) lim (f (x) + 3g (x)) x →c

(d) lim

x →c

f (x) f (x) − g (x)

Respostas: (a) −10; (b)−20; (c)−1; (d) 5 .
7
√
√
a Quest˜o Se 5 − 2x2 ≤ f (x) ≤ 5 − x2 para −1 ≤ x ≤ 1, determine lim f (x). a 3 x→0 4a Quest˜o Se 2 − x2 ≤ g (x) ≤ 2 − x2/3 para todos os valores de x, determine lim g (x). a x→0

f (x) − 5
= 3, determine lim f (x). x→4 x − 2 x→4 5a Quest˜o Se lim a Resposta: lim f (x) = 7. x →4