Examine the continuity or discontinuity of the following :

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions

Problem

Examine the continuity or discontinuity of the following : (i) f(x) = [x] + [-x] (ii) g(x) = \lim_{n \to \infty} \frac{x^{2n} - 1}{x^{2n} + 1}