Chapter 3: Functions of Several Variables
Section 3.2: Limits and Continuity
Prove the inequality x3−y3≤x2+y23/2.
The requisite estimates are shown below.
=x x2 + y y2
Inequalities 4 and 5
Figure 3.2.20(a) compares x2+y23/2 with x3−y3, the first in green, the second, in red. The green surface lies above the red surface, indicating that x2+y23/2 is greater than x3−y3.
Figure 3.2.20(a) x3−y3 in red, x2+y23/2 in green
<< Previous Example Section 3.2
Next Example >>
© Maplesoft, a division of Waterloo Maple Inc., 2023. All rights reserved. This product is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation.
For more information on Maplesoft products and services, visit www.maplesoft.com
Download Help Document