4a Lista de Exercícios de Cálculo I - Limites e Continuidade 2013

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Curso de Engenharia Biotecnológica
4ª Lista de Exercícios de Cálculo I
Limites e Continuidade
Determinar os limites a seguir: 
Determinar um número δ para o ε dado tal que 
 sempre que 
:
Calcule os limites a seguir, se existirem:
Dada a função 
, calcule se existir:
Prove, por definição, que a função dada é contínua no ponto dado:
 em p = 3
 em p = 61
 em p = 5
Seja 
 a função dada por:
Dada a função definida por:
Calcule mais alguns limites, de acordo com as suas propriedades:
Determine L para que a função dada seja contínua no ponto dado. Justifique:
 em p = 1
 em p = 2
Verificar se existe 
:
Seja 
 
Esboce o gráfico de 
Achar, se existirem 
, 
 e 
.
Calcule os limites:
 
Seja 
 
Esboce o gráfico de 
, 
, 
, 
, 
 e 
Calcule os limites, usando os limites fundamentais:
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