Answer
$$\infty$$
Work Step by Step
Given $$\lim _{x\to 0^+ }\sin\left(\frac{1}{x}\right) $$
Then
\begin{align*}
\lim _{x\to 0 }\sin\left(\frac{1}{x}\right) &= \sin\left(\lim _{x\to 0} \left(\frac{1}{x}\right) \right)\\
&=\infty
\end{align*}