Answer
$$0$$
Work Step by Step
\begin{align*}
\lim _{x \rightarrow 0}\tan (2^x-1 )&=\tan (2^0-1 )\\
&=\tan (0)\\
&=0.
\end{align*}
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.