Limits of Polynomials

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The polynomial functions \( f(x) \) and \( g(x) \) satisfy \[ \lim_{x \to 5} \frac{f(x)-5}{x - 5} = 13\;\; \textrm{and} \;\; \lim_{x \to 5} \frac{g(x)-3}{x - 5} = 11. \] If \( h(x) = f(x)g(x), \) what is the value of \( h'(5)? \)

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