Asymptotes Memes

The mathematical horror story no one asked for! Left side shows sine function, smooth and well-behaved like that student who always turns in homework early. Right side? That's tangent with its vertical asymptotes—basically math having an existential crisis every π radians. Both functions are technically "continuous" where they're defined, but tangent has these dramatic infinity vacations where it simply refuses to exist. It's the function equivalent of saying "Sorry, can't come to work today, busy approaching infinity." The faces perfectly capture the vibe—sine is living its best life with complete domain, while tangent is having war flashbacks from all those calculus problems where students forgot about its domain restrictions. Trust me, I've seen grown mathematicians cry when someone casually asks about the continuity of tan(π/2).

That's not a creepy figure—it's a rational function having an existential crisis. Those vertical asymptotes are just setting boundaries like any reasonable mathematical entity with trust issues. The little dip at the bottom? That's where the function briefly considered becoming a parabola before remembering its complicated family history. Calculus students spend hours trying to understand these functions, while the functions just want someone to appreciate their uniquely discontinuous personality.

The eternal dance of limits in pre-calculus! When infinity "casually approaches" x, it's basically math's way of saying "I'm gonna get reeeeeally close to you but never actually touch you." Like that awkward friend who stands just a little too far away during conversations. The limit exists, but the personal space is infinite! Mathematicians spent centuries figuring this out when they could've just used dating apps as metaphors—approaching someone without ever making a move. The foundation of calculus, folks: mathematical friendzoning.