(2). If \( f_0(x) = \sqrt{x} \), and \( f_{n+1}(x) = \sqrt{2 + f_n(x)} \). Find the limit \( \lim_{x \to 4} \frac{f_2(x) - 2}{x - 4} = ? \) (6%)
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(2). If \( f_0(x) = \sqrt{x} \), and \( f_{n+1}(x) = \sqrt{2 + f_n(x)} \). Find the limit \( \lim_{x \to 4} \frac{f_2(x) - 2}{x - 4} = ? \) (6%)