Use the following definition for the nonexistence of a limit. Assume f is defined for all values

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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 |lim f(x) L  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 |lim f(x) # 3. Find all values of ε > 0 for which the preceding condition for non existence is satisfied.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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