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\( f \) and \( g \) are continuous functions. The table below gives some values of \( f, f^{\prime ...
\( f \) and \( g \) are continuous functions. The table below gives some values of \( f, f^{\prime}, g \), and \( g^{\prime} \). Use the table to answer the following questions. Problem 1: Find the value of the limit \( \lim _{x \rightarrow 3} \frac{f(x) g(x)-4}{x-3} \). Problem 2: Find the derivative of the function \( h(x)=e^{x} f(x)+\frac{g(x)}{2 x} \) at \( x=1 \).