What is a limit in calculus?

A limit is a way to describe the behavior of a function as its input gets closer to a specific value. It helps us understand what value a function is approaching, even if it doesn’t actually reach that point. Limits are essential in defining key ideas in calculus, like derivatives and continuity. They help handle situations where direct calculation is difficult or impossible. For example, if a function gets closer and closer to a certain number as the input nears a value, the limit tells us what number it's approaching. Limits are the foundation of all calculus concepts.