textbook-theory · English
Piecewise Continuous Functions
A three-page calculus lecture note covering left and right limits, the formal definition of continuity, and piecewise continuous functions. The text defines left/right limits and vertical asymptotes, distinguishes continuous from discontinuous functions, and introduces left/right continuity with worked examples. Piecewise continuous functions are presented as functions continuous everywhere except at a finite number of points, with the observation that differentiability requires continuity.
piecewise continuous functionsleft and right limitscontinuitycalculus