CoreLimits
Limits at Infinity
Overview
What happens to a function as x grows without bound? Limits at infinity describe end behavior and horizontal asymptotes.
Key Concepts
1
Horizontal asymptote at y = L when lim_{x→∞} f(x) = L
2
Rational functions: compare degrees of numerator and denominator
3
1/x → 0 as x → ∞
See it in action
Use the interactive visualizer to explore this concept with real graphs.