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3. In each of the following examples, determine (with careful arguments) the bound- ary of A in X, and state whether A is open in X, closed in X, both open and closed in X, or neither open nor closed in X. a) x = R, A = (-1,1).

3. In each of the following examples, determine (with careful arguments) the bound- ary of A in X, and state whether A is open in X, closed in X, both open and closed in X, or neither open nor closed in X. a) x = R, A = (-1,1).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. In each of the following examples, determine (with careful arguments) the bound- ary of A in X, and state whether A is open in X, closed in X, both open and closed in X, or neither open nor closed in X. a) x = R, A = (-1,1). %3D
Transcribed Image Text:3. In each of the following examples, determine (with careful arguments) the bound- ary of A in X, and state whether A is open in X, closed in X, both open and closed in X, or neither open nor closed in X. a) x = R, A = (-1,1). %3D
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