IntroFoundations
Infinity & Asymptotes
Overview
Infinity is not a number — it is a direction. Understanding how functions behave as x grows without bound prepares you for limits at infinity.
Key Concepts
1
∞ is a behavior, not a value: 1/x → 0 as x → ∞
2
Vertical asymptote: f(x) → ±∞ as x approaches a fixed value
3
Horizontal asymptote: f(x) → L as x → ±∞
4
Rational functions: compare degrees of numerator vs denominator
Explore Calculus Visually
Open the calculus visualizer to interact with derivatives, limits, and integrals.