Prove that .

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

Problem

Prove that lim⁡x→∞(x3e−x+5xe2x)=0\displaystyle\lim_{x \to \infty} \left( x^{3} e^{-x} + \frac{5x}{e^{2x}} \right) = 0.

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