Showing L is not a limit We can prove that lim, f(x) # L by pro-viding an ɛ > 0 such that no possible 8 > 0 satisfies the condition|f(x) – L| < e whenever 0 < |x - c| < 8.We accomplish this for our candidate ɛ by showing that for each & > 0there exists a value of x such that0 < |x - c| < 8|f(x) – L| 2 e.andy=f(x)L+eL-Efx).0 c-8 cc+8A value of x for which0<|x-c| <ô and| f(x) – L| 2 8

Given: To Show: L is not a limit using given ε-δ condition

Answered: Showing L is not a limit We can prove…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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