Answer
$-\infty $
Work Step by Step
$\lim _{x\rightarrow -\infty }\dfrac {x^{3}-4}{x^{2}+1}=\dfrac {\dfrac {x^{3}}{x^{2}}-\dfrac {4}{x^{2}}}{\dfrac {x^{2}}{x^{2}}+\dfrac {1}{x^{2}}}=\dfrac {x-0}{1+0}=x=-\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.