Limit Laws

AP Calculus · Axiom Academy

Simplify limit calculations using algebraic rules Computing limits directly from the definition is tedious. Limit Laws let us break complex limits into simpler pieces. For polynomial, rational (when denominator ≠ 0), and most common functions: That is, just plug in the x-value! This works because these functions are continuous at their domain points. When Direct Substitution Fails Sometimes plugging in gives (undefined), like: (for any constant c and number a) Then apply Limit Laws to build more complex limits from these foundations.

This is the written version of the interactive lesson above. See the full AP Calculus course.