Explain why the highest-degree terms in the numerator and denominator are sufficient…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Explain why the highest-degree terms in the numerator and denominator are sufficient to predict the end-behavior of the terms an=7n3−4n5n4+9a_n=\dfrac{7n^{3}-4n}{5n^{4}+9} as n→∞n\to\infty.

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