Chapter 1: Limits
Section 1.1: Naive Limits
Example 1.1.8
Evaluate .
Solution
Control-drag (or type) Context Panel: Assign Function
Figure 1.1.8(a) shows the oscillatory behavior of . However, because of the multiplicative factor , the oscillations shown in Figure 1.1.7 are encased by between the lines . As approaches zero, these oscillations are squeezed to zero, and the limit now exists and is, in fact, zero.
Figure 1.1.8(a) Graph of
Expression palette: Limit template Context Panel: Evaluate and Display Inline
=
Maple's limit operator correctly applies Principle 1.1.1 and determines the value of the limit to be zero.
<< Previous Example Section 1.1 Next Section >>
© Maplesoft, a division of Waterloo Maple Inc., 2024. 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
