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Evaluate the limit

Evaluate:

    \[ \lim_{x \to 0} \frac{25 x^3 + 2}{75x^7 - 2}. \]


Since polynomials are continuous, we know the numerator and denominator are continuous. Thus, f/g is continuous and we can evaluate:

    \[ \lim_{x \to 0} \frac{25 x^3 + 2}{75x^7 - 2} = \frac{2}{-2} = -1. \]

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