Question

Epsilon delta definition of limit used to disprove a given limit

Answer 1

In Calculus, the - definition of a limit is an algebraically precise formulation of evaluating the limit of a function. Informally, the definition states that a limit  of a function at a point exists if no matter how  is approached, the values returned by the function will always approach . This definition is consistent with methods used to evaluate limits in elementary calculus, but the mathematically rigorous language associated with it appears in higher level analysis