Question

calcule o limite lim→−∞ √3 2−2+2 /5−2 .

Answer 1

• Resposta: 1

Desejamos calcular o seguinte limite:

$\large\displaystyle\text{ \begin{gathered} \lim_{x\to- \infty} \frac{\sqrt{3^2} -2+2}{5-2} \end{gathered} }$

Perceba que não temos nenhuma incógnita, logo, o limite será dado por:

$\large\displaystyle\text{ \begin{gathered} \cancel{\lim_{x\to- \infty}} \frac{\sqrt{3^2} -2+2}{5-2} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered} \frac{\sqrt{3^2} -2+2}{5-2} \end{gathered} }$

      $\large\displaystyle\begin{gathered} \frac{3 }{3} \end{gathered}$

$\large\displaystyle\text{ \begin{gathered}\therefore \boxed{\boxed{\green{ \lim_{x\to- \infty} \frac{\sqrt{3^2} -2+2}{5-2} =1}}}\ \checkmark \end{gathered} }$

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