epsilon delta definition of limit examples
Objectives: In this tutorial, we finally obtain the formal defintion of limits and relate this definition to our previous definition. We verify this definition for a few examples. First, we find algebraically the delta corresponding to a specific epsilon and then find algebraically the delta for an arbitrary epsilon.efinition. The limit of f(x) as x approaches a is L. if and only if, given, there exists such that 0 d implies that |f(x) - L| e. 1  Discussion of how to obtain the above formal definition of limits from our previous definition of limits.