Let f(x)=limn→∞x2n−1x2n+1f(x) = \lim_{n \to \infty} \frac{x^{2n} - 1}{x^{2n} + 1}f(x)=limn→∞x2n+1x2n−1. Which of the following is true regarding continuity?
f(x)f(x)f(x) is continuous for all xxx.
f(x)f(x)f(x) has jump discontinuities at x=1x = 1x=1 and x=−1x = -1x=−1.
f(x)f(x)f(x) is continuous only at x=0x = 0x=0.
f(x)f(x)f(x) has infinite discontinuities at x=1x = 1x=1 and x=−1x = -1x=−1.