Topics › Precalculus › Limits at Infinity — Horizontal Asymptotes via Limits
Precalculus · F-IF

Limits at Infinity — Horizontal Asymptotes via Limits

For rational functions, lim_{x→∞} p(x)/q(x) depends on degree comparison — lower degree numerator → 0; equal degrees → ratio of leading coefficients; higher degree numerator → ±∞.

PrecalculusCommon Core HSF-IF.C.7F-IFVerified correct ✓

Worked examples

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

Every problem on Pounce is generated and checked by code — never a wrong answer key.

Master Limits at Infinity — Horizontal Asymptotes via Limits

Code-verified problems at exactly the right level, explained the way your kid learns.

Start your free trial 🐾

Build up to this

Introduction to Limits — Evaluating Limits Numerically and Algebraically

More Precalculus topics

Complex Numbers in Polar Form — r(cos θ + i sin θ)Multiply and Divide Complex Numbers in Polar FormDe Moivre's Theorem — Powers and Roots of Complex NumbersVectors — Components, Addition, and Scalar MultiplicationDot Product of Vectors — Magnitude and Angle Between VectorsMatrix Addition, Subtraction, and Scalar MultiplicationMatrix Multiplication — 2×2 and 2×1 Cases2×2 Matrix Inverse and Determinant