Answer
Does not exist.
Work Step by Step
Graph the function together with $x=2$, as can be seen, when $x\to 2$, $f(x)\to \infty$, thus the limit does not exist.
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.