or this problem, let f: R→R be a function. We say that a non-empty set UCR is ajar if Vu EU, 3r >0 such that (u-r,u+r) CU. a) Show that (0, 2) is ajar.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 54E
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For this problem, let f: R→ R be a function. We say that a non-empty set UCR is ajar if
VU, 3r>0 such that (u-r, u + r) ≤U.
(a) Show that (0, 2) is ajar.
Transcribed Image Text:For this problem, let f: R→ R be a function. We say that a non-empty set UCR is ajar if VU, 3r>0 such that (u-r, u + r) ≤U. (a) Show that (0, 2) is ajar.
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