brownworm509Lv1
3 Jan 2022
Problem 68b
Page 618
Section 8.7: Taylor and Maclaurin Series
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
3 Jan 2022
Given information
The given piecewise function is .
To graph the given piecewise function and comment its behavior at origin.
Step-by-step explanation
Step 1.
Enter the top piece of the function into a graphing utility.
Notice that as approaches 0 , the top piece approaches 0 , the bottom piece. Show that point on the graph.
Notice how flat the graph is near the origin. This is because all of the functions derivatives are equal to zero.
See part (a) for derivatives.