Continuidad

Continuidad, or continuity, in mathematics refers to a property of functions where small changes in the input result in small changes in the output. Essentially, a function is continuous if there are no abrupt jumps, gaps, or breaks in its graph. This means you can draw the function smoothly without lifting your pen. Continuity ensures predictable behavior, making models and calculations more reliable. It is a fundamental concept in calculus, essential for understanding limits, derivatives, and integrals, and plays a crucial role in analyzing the behavior of various mathematical and real-world systems.