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Let \( f: R \rightarrow R \) satisfy the equation \( f(x+y)=f(x) \cdot f(y) \)
\( \mathrm{P} \) for all \( x, y \in R \) and \( f(0) \neq 0 \) for any \( x \in R \). If the

W) function \( f \) is differentiable at \( x=0 \) and \( f^{\prime}(0)=2 \), then \( \lim _{h \rightarrow 0} \frac{1}{2}(f(h)-1) \) is equal to
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