Question: What is the limit as x approaches infinity of (4x^3 - 3x^2 + 2x) / (5x^3 + 7x^2 - 9x)?
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What is the amplitude of the cosine function f(x) = cos(x)?
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What is the common characteristic of the functions f(x) = 10^x and f(x) = e^x in terms of their behavior as x approaches infinity? (Hint: Consider the values to which these functions tend as x becomes very large.)