B. Given any two positive numbers x and y, we define their geometric, harmonic, and arithmetic means respectively by: 2 X √xy, 1 1 2 + x y + 1) Which of these 3 numbers is the smallest? The biggest? How can we demonstrate it? 2) What is the limit of each of these 3 numbers when x or y tends to +∞o?
B. Given any two positive numbers x and y, we define their geometric, harmonic, and arithmetic means respectively by: 2 X √xy, 1 1 2 + x y + 1) Which of these 3 numbers is the smallest? The biggest? How can we demonstrate it? 2) What is the limit of each of these 3 numbers when x or y tends to +∞o?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:B. Given any two positive numbers x and y, we define their
geometric, harmonic, and arithmetic means respectively by:
2 X
√xy,
1 1'2
+
y
+
1) Which of these 3 numbers is the smallest? The biggest?
How can we demonstrate it?
2) What is the limit of each of these 3 numbers when x or y
tends to +∞o?
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