Limits and Continuity Reference
By Dr. Iris Vaughan, Mathematics Editor·Published 20 October 2025·Last reviewed 10 March 2026
Limit laws, L'Hôpital's rule conditions, one-sided limits, and the three conditions for continuity at a point — with the common indeterminate forms.
Key Formulas
Limit laws: lim(f+g)=limf+limg
Sandwich theorem
L'Hôpital: 0/0 or ∞/∞ forms
Continuity: f(a) exists, lim exists, they are equal
Removable/jump/infinite discontinuity types
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