(2). (8%) Find the limit for \( f(x) = \lim_{x \to \infty} \frac{x^4 + 5\cos(x^2)}{x^4} \), where \( k \) is some positive finite constant.
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(2). (8%) Find the limit for \( f(x) = \lim_{x \to \infty} \frac{x^4 + 5\cos(x^2)}{x^4} \), where \( k \) is some positive finite constant.