Let A = (0, 1]-{ // | neN}. (a) Find the set A° of its interior points. (b) Find the set A' of its limit points. (c) Determine whether A is open or closed. (Discuss both.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Let A = (0, 1]-{ // | neN}.
(a) Find the set A° of its interior points.
(b) Find the set A' of its limit points.
(c) Determine whether A is open or closed. (Discuss both.)
(d) Determine whether A is compact.
(e) Determine whether A is connected.
(f) Find the set OA of its boundary points.
Transcribed Image Text:Let A = (0, 1]-{ // | neN}. (a) Find the set A° of its interior points. (b) Find the set A' of its limit points. (c) Determine whether A is open or closed. (Discuss both.) (d) Determine whether A is compact. (e) Determine whether A is connected. (f) Find the set OA of its boundary points.
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