Definition: An asymptote is a line that a curve approaches but never actually touches. This concept is fundamental in mathematics and geometry, particularly in curves like circles, ellipses, parabolas, and hyperbolas. It's a key tool for understanding how two different functions intersect at specific points or what the behavior of a function looks like as its input values get very large or very small. In simpler terms, an asymptote is a line that is "too far away" from the curve it