Question 4. Prove that for any x, y ≥ 0, we have |√x - √| ≤ √√x - y. (Hint. Consider the cases x≤y and y ≤ xa separately.)
Question 4. Prove that for any x, y ≥ 0, we have |√x - √| ≤ √√x - y. (Hint. Consider the cases x≤y and y ≤ xa separately.)
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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![Question 4. Prove that for any x, y ≥ 0, we have |√x - √ÿ| ≤ √√|x − y]. (Hint. Consider the cases
x ≤y and y ≤ x separately.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facc2e209-8c76-4eaa-a6c2-2cf75e37f5c6%2F06a77b14-f045-4eac-9821-277ccaf8a814%2Fw40jh8o_processed.png&w=3840&q=75)
Transcribed Image Text:Question 4. Prove that for any x, y ≥ 0, we have |√x - √ÿ| ≤ √√|x − y]. (Hint. Consider the cases
x ≤y and y ≤ x separately.)
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