Answer
$\frac{1}{2}.$
Work Step by Step
We have $$
\lim _{n \rightarrow \infty}\frac{1}{a_n}=
\frac{1}{\lim _{n \rightarrow \infty} a_n}
=\frac{1}{2}.
$$
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.