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 if for some ε > 0, there is no value of δ > 0 satisfying the condition
|f(x) - L| < ε whenever 0 < |x - a| < δ
Prove that does not exist.
Transcribed Image Text:
|lim f(x) L |x| lim х—0 х
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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