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Limits at Infinity — End Behavior of Rational Functions

lim_{x→∞} p(x)/q(x) — compare degrees. Lower numerator degree → 0; equal → ratio of leading coefs; higher → ±∞.

CalculusCommon Core LIM-2.ALIMVerified correct ✓

Worked examples

Find lim x→∞ [(-3*x**2) / (-2*x**4)].
Answer: 0
Find lim x→∞ [(3 - 2*x) / (1 - 3*x)].
Answer: 2/3

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