Answer
True.
Work Step by Step
$\lim\limits_{x \to 2} 4x^{2} - 11 = $
$\lim\limits_{x \to 2} 4(2)^{2} - 11 = 16 - 11 = 5$
So it's true that the function is continuous at $5$; $f(5) = 2$.
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.