Answer
$\lim\limits_{x\to2^-}\dfrac{1}{\sqrt[3]{x^2-4}}=-\infty.$
Work Step by Step
$\lim\limits_{x\to2^-}\dfrac{1}{\sqrt[3]{x^2-4}}=\dfrac{1}{\sqrt[3]{(2^-)^2-4}}=\dfrac{1}{\sqrt[3]{0^-}}=-\infty.$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.