Sejam f e g duas funções definidas em \mathbb{R}^2\setminus\{(0,0)\} . Se |f(x,y)-0|\le g(x,y)\qquad e \quad\lim_{(x,y)\to (0,0)} g(x,y)=7 então podemos concluir que \lim_{(x,y)\to (0,0)} f(x,y)=7.

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Sejam f e g duas funções definidas em $\mathbb{R}^2\setminus\{(0,0)\}$ \mathbb{R}^2\setminus\{(0,0)\}.

$|f(x,y)-0|\le g(x,y)\qquad$ |f(x,y)-0|\le g(x,y)\qquad e $\quad\lim_{(x,y)\to (0,0)} g(x,y)=7$ \quad\lim_{(x,y)\to (0,0)} g(x,y)=7

então podemos concluir que

$\lim_{(x,y)\to (0,0)} f(x,y)=7.$ \lim_{(x,y)\to (0,0)} f(x,y)=7.

True

False

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