Answer
$$\frac{1}{2}$$
Work Step by Step
Given $$\lim_{h\to 0}\frac{\sin h}{2h}$$
Then
\begin{align*}
\lim_{h\to 0}\frac{\sin h}{2h}&=\frac{1}{2}\lim_{h\to 0}\frac{\sin h}{ h}\\
&=\frac{1}{2}
\end{align*}
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