👉 In mathematics, an asymptote is a line that a curve approaches as its distance from a fixed point increases without bound. It is often used in analysis and geometry to represent points at which functions approach infinity or negative infinity. For example, consider two curves C1(x) = x^2 and C2(x) = 3x + 4. As we move along the curve C1, the distance from the origin (0,0) increases without bound. Similarly, as we move