Consider f of x is equal to the fraction with numerator negative 14 x to the 4th power plus 2 x plus 18 and denominator x to the 4th power minus 3 x squared Which statement represents the correct interpretation of this limit? limit x to plus or minus infinity of f times x

As x approaches either positive or negative infinity, the highest-power terms dominate the fraction. The leading terms are −14x⁴ in the numerator and x⁴ in the denominator, so their ratio approaches −14x⁴/x⁴ = −14. Therefore, the limit means that f(x) approaches −14, which is choice C.

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