Sin x Memes

The eternal struggle between calculus and common sense! The limit of sin(x)/x as x approaches 0 is indeed 1, which is what the math teacher is congratulating. But our poor student's reasoning? "Sin 0 / 0 = 0/0 = 1" which is mathematical blasphemy of the highest order. Division by zero is the mathematical equivalent of opening Pandora's box while standing in a black hole. The correct approach uses L'Hôpital's rule or the Taylor series expansion, not... whatever mathematical crime scene is happening on the right. Every calculus professor just felt a disturbance in the force.