Home / Calculus / Limits & Continuity / Continuity & Intermediate Value Theorem D. Continuity & Intermediate Value Theorem Continuity at a point and on intervals, discontinuity types, and the Intermediate Value Theorem. Topics in this Section D.1 Continuity at a Point and Over an Interval D.2 Discontinuity Types: Removable Discontinuities D.3 Continuous functions; Continuity theorems D.4 The Intermediate Value Theorem