Evaluate . Show all the steps that justify your final answer and quote any…

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

Problem

Evaluate lim⁡x→∞(x2+3)e−2xcos⁡4x\displaystyle \lim_{x\to\infty}(x^{2}+3)e^{-2x}\cos 4x. Show all the steps that justify your final answer and quote any inequalities you employ.

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