Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Exercise 3.2.3. Decide whether the following sets are open, closed, or neither.
If a set is not open, find a point in the set for which there is no e-neighborhood
contained in the set. If a set is not closed, find a limit point that is not contained
in the set.
(a) Q.
(b) N.
(c) {xRx0}.
(d) {1+1/4+1/9+...+1/n²: nЄN}. I also
(e) {1+1/2+1/3+...+1/n: nЄN}.
nox
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Transcribed Image Text:Exercise 3.2.3. Decide whether the following sets are open, closed, or neither. If a set is not open, find a point in the set for which there is no e-neighborhood contained in the set. If a set is not closed, find a limit point that is not contained in the set. (a) Q. (b) N. (c) {xRx0}. (d) {1+1/4+1/9+...+1/n²: nЄN}. I also (e) {1+1/2+1/3+...+1/n: nЄN}. nox
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