Two functions and are evaluated at large -values

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

Problem

Two functions pp and qq are evaluated at large xx-values. x 10 12 14 16 p(x) 100 144 196 256 q(x) 1024 4096 16384 65536 Using the data, determine lim⁡x→∞p(x)q(x)\displaystyle \lim_{x\to\infty} \frac{p(x)}{q(x)}.

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