Although tan has a set of discontinuities when it jumps between +∞ and -∞ through complex infinity (∞~). tan(π(x + 0.5)) = ∞~, x ∃ ℤ (π on my screen doesn't

Although tan has a set of discontinuities when it jumps between +∞ and -∞ through complex infinity (∞~). tan(π(x + 0.5)) = ∞~, x ∃ ℤ (π on my screen doesn't look much like greek pi.)