Evaluate the limits given below

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate the limits given below. Show all the intermediate steps clearly. (i)

\displaystyle \lim_{x\to -\infty} x^{4}e^{2x}

(ii)

\displaystyle \lim_{x\to \infty} x^{4}e^{-2x}

(iii) Are the two limits obtained in parts (i) and (ii) equal? Give a brief reason for your answer.