Continuously
"Continuously" refers to an action or process that occurs without interruption or breaks. It implies a steady, ongoing state where something happens repeatedly over time. For example, a river flows continuously, maintaining its movement without stopping.
In mathematics, the term is often used to describe functions that are smooth and unbroken. A continuous function does not have any gaps or jumps in its graph, meaning that small changes in input result in small changes in output. This concept is essential in calculus and helps in understanding limits and derivatives.