Use the following definition for the nonexistence of a limit. Assume f is defined for all values of x near a, except possibly at a. We write  if for some ε > 0, there is no value of δ > 0 satisfying the condition

|f(x) - L| < ε whenever 0 < |x - a| < δ

For the following function, note that Find all values of ε > 0 for which the preceding condition for non existence is satisfied.

Transcribed Image Text:

|lim f(x) L |lim f(x) # 3.