1. Prove the following results using the definition of || and the triangleinequality.For n N and y₁, 92,..., yn ER,|y₁ + y2 +...+yn| ≤|y1| + |y2| + ... + |yn|.Hint. Use induction.

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Answered: 1. Prove the following results using…

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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1. Prove the following results using the definition of |- and the triangle inequality. For n N and 9₁, 92,..., Un ER, 31 +32+...+yn|≤|y1| + |32|+ .+|ynl. Hint. Use induction.