LESSON 5 · Calculus Without Tears
Infinity Is Not a Number
Infinity is a concept, not a quantity you can plug into equations normally. Treating it as an ordinary number creates paradoxes. Mathematicians handle it through limits — describing what happens as values grow without bound, never claiming to "reach" infinity.
The distinction matters in physics too. When an equation produces an infinite answer, it usually means the model has broken down and needs a deeper theory. The same caution applies in computing: dividing by a value approaching zero can produce runaway numbers that crash a simulation.