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

Question:

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

Prove that |x| lim х—0 х does not exist.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

Question Posted: