The Epsilon-Delta Definition is a formal way to define the concept of a limit in calculus. It states that for a function to approach a limit L as x approaches a value a , we can make the function's output as close to L as we want by choosing x values sufficiently close to a . Here, \epsilon (epsilon) represents how close we want the function's value to be to L , while \delta (delta) represents how close x needs to be to a . In this definition, for every \epsilon > 0 , there exists a \delta > 0 such that if 0 < |x - a| < \delta , then |f(x) - L| < \epsilon . This precise relationship helps mathematicians rigorously prove limits and continuity in functions. The E