LIMITE DE FUNÇÕES DE DUAS VARIÁVEIS INTRODUÇÃO 01

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LIMITE DE FUNÇÕES DE DUAS VARIÁVEIS • LIMITE DE FUNÇÕES DE DUAS VARIÁVEIS | COORDENADAS POLARES • O que é uma função de várias variáveis? • Uma função de duas variáveis é uma regra que associa a cada par ordenado de números reais (x,y) de um domínio D um único valor real, denotado por f(x,y). O conjunto D é chamado domínio de f e sua imagem é o conjunto de todos os valores possíveis de f, ou seja, {f(x,y):(x,y) ∈ D}. • Como calcular o limite de uma função de duas variáveis? • Para funções de duas variáveis, os pontos (x, y) ∈ R2 podem se aproximar do ponto (a, b) por diversos caminhos distintos. A existência do limite não pode depender da maneira como (x, y) se aproxima de (a, b). O limite existe se, e somente se, todos os “sublimites” (obtidos tomando os vários caminhos) forem iguais. • Como saber se o limite existe ou não? • quando x se aproxima de um valor a, por exemplo. Ou seja, para dizer que um limite existe, ele deve ser igual a um número real. Observe que como x está sobre a reta dos Reais, x pode aproximar-se de a pela direita (por valores maiores que a) ou pela esquerda (por valores menores que a). • ------------------------------------- • tags: limite com duas variáveis exercícios resolvidos, como provar que um limite de duas variáveis não existe, limite de duas variáveis calculadora, limite de duas variáveis coordenadas polares, limite fundamental duas variáveis, limites de duas variáveis pdf, limites de funções de uma variável, limite de funções com duas variáveis, limite de funções de várias variáveis, limite de funções de duas variáveis exercícios resolvidos, limite de funções propriedades, teorema do confronto duas variáveis, teorema do confronto para funções de duas variáveis, limite coordenadas polares, como provar que um limite de duas variáveis não existe, limite e continuidade cálculo 2 exercícios resolvidos, limite e continuidade cálculo 2, limite de funções, limites, limite, 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