2. If X is a finite set and fn → f on X, show that fn = f on X. 3. If fn 3 f on X and Y is a nonempty subset of X, show that fn 3 f on Y.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 3TFE: Label each of the following statements as either true or false. 3. Let where A and B are nonempty....
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2. If X is a finite set and fn → f on X, show that fn 3 f on X.
3. If fn 3 f on X and Y is a nonempty subset of X, show that fn 3f on Y.
Transcribed Image Text:2. If X is a finite set and fn → f on X, show that fn 3 f on X. 3. If fn 3 f on X and Y is a nonempty subset of X, show that fn 3f on Y.
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