This is equivalent to [[Continuous Function (Epsilon-Delta Definition)]] by [[Equivalence of Continuous and Sequentially Continuous Functions Over Euclidean Spaces]]. Negating gives this definition of discontinuity at a point [[Discontinuous Function (Sequence Definition)]]. # Examples - [[Constant Function is Continuous]]. - [[Identity Function on Reals is Continuous]]. - [[Reciprocal Function is Continuous at non-zero points]]. # Application - [[Algebra of Continuous Real Functions]].