Assume I is a closed interval, (n) is a sequence from I (this means each in E I), and (n) converges to r. Prove: rE I (hint: prove this by contradiction).
Assume I is a closed interval, (n) is a sequence from I (this means each in E I), and (n) converges to r. Prove: rE I (hint: prove this by contradiction).
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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Transcribed Image Text:1. Assume I is a closed interval, (n) is a sequence from I
(this means each xn E I), and (xn) converges to r.
Prove: rEI (hint: prove this by contradiction).
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