Let X = R² with metric d((x₁, y₁), (x2, y2)) := √(x2 − X1₁)² + (Y2 — Y1)². - Prove that the sequences (2) converges. Is it a Cauchy sequences?
Let X = R² with metric d((x₁, y₁), (x2, y2)) := √(x2 − X1₁)² + (Y2 — Y1)². - Prove that the sequences (2) converges. Is it a Cauchy sequences?
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:5. Let X R2 with metric
d((x1, y₁), (2, y2)) = √(x₂-x₁)² + (y2 - y₁)².
Prove that the sequences 2) converges. Is it a Cauchy sequences?
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