Let I := [a; b], let f : I R be continuous on I, and assume

Question:

Let I := [a; b], let f : I → R be continuous on I, and assume that f(a) < 0; f(b) > 0. Let W := {x ∈ I : f(x) < 0}, and let w := sup W. Prove that f(w) = 0. (This provides an alternative proof of Theorem 5.3.5.)
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: