Let I := [a, b] and let f : I R be a (not necessarily continuous)

Question:

Let I := [a, b] and let f : I → R be a (not necessarily continuous) function with the property that for every x ∈ I, the function f is bounded on a neighborhood Vδx (x) of x (in the sense of Definition 4.2.1). Verify that f is bounded on I.

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

Step by Step Answer:

Related Book For  book-img-for-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

Question Posted: