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 0, there is no value of 0 satisfying the condition f(x) L whenever 0 x a Let Prove that does not exist for any value of a Assume for some values of ...

Suppose that exists and is equal to L Let 12 By the definition of limit there must be a numbe ...

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

Let

(0 ifx is rational f(x) = so if x is irrational.

Prove that does not exist for any value of a. Assume for some values of a and L and let ε = 1/2.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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Question Posted: Feb 08, 2019 09:46 AM

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

Question:

|lim f(x) L (0 ifx is rational f(x) = so if x is irrational.

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Suppose that exists and is equal to L Let 12 By the definition of limit there must be a numbe...View the full answer

Calculus Early Transcendentals

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