Exercício de Limite
Por: Paulo Alex • 29/5/2015 • Trabalho acadêmico • 2.944 Palavras (12 Páginas) • 171 Visualizações
[pic 1]
Curso de Engenharia[pic 2]
Disciplina: Cálculo Diferencial e Integral
Prof. José Flamarion Moura do vale
Lista de Exercícios
1. Calcule os seguintes limites.[pic 3]
[pic 4]
a) lim (3x2 – 5x + 2) b) lim 2x2 – x + 1 [pic 5][pic 6]
x2 x1 3x – 2
[pic 7]
2. Calcule lim 2x3 + x2 – 4x + 1
x1 x3 – 3x2 + 5x – 3
3. Calcular os limites:
[pic 8]
a) lim x3 + 3x2 – x – 3 b) lim x4 – 10x + 4
x-1 x3 – x2 + 2 x2 x3 – 2x2
4. Calcule:
a) lim 3x – 4 _ c) lim 3x2 – 5x + 2
x2 (x - 2)2 x0 x2
b) lim 3x – 4 _ d) lim 2x2 + 5x – 3
x3 (x - 1)2 x-2 [pic 9]
5. Determine os seguintes limites laterais:
[pic 10][pic 11]
a) lim x + 4
x-2- x + 2
d) lim 2x + 3 [pic 12]
x1- (x - 1)3
06. Encontre:
a) lim (4x2 – 7x + 3) c) lim (5x3 – 4x2 – 3x + 2)
x + ∞ x - ∞
b) lim (-3x3 + 2x2 – 5x + 3) d) lim (3x4 – 7x3 + 2x2 – 5x – 4)
x+ ∞ x - ∞
07. Determine:
a) lim (2x + 3) d) lim (4 – x2)
x+ ∞ x + ∞
b) lim (4 – 5x) e) lim (4x2 – 7x + 3)
x+ ∞ x - ∞
c) lim (5x2 – 4x + 3) f) lim (8 – x3)
x+ ∞ x - ∞
08. Calcule:
a) lim (xn – 1), n ∈ N* c) lim (c . x), c ∈ ׀R*
x + ∞ x + ∞
b) lim (1 – xn), n ∈ N* d) lim ( [pic 13]), c ∈ ׀R*
x - ∞ x - ∞
09. Encontre:
[pic 14][pic 15]
a) lim c) lim
x + ∞ x - ∞
[pic 16][pic 17]
b) lim d) lim
x - ∞ x - ∞
10. Determine:
...