Problem 31
Page 104
Section 2.2: The Limit of a Function
Chapter 2: Limits and Derivatives
Given information
Given :- The expression is
To find :-
The graph of has a vertical tangent or a vertical cusp at c
Step-by-step explanation
The function is ...(1)
The vertical tangent means that the derivative at that point approaches infinity
Since the slope is infinitely large
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function .
|
0 |
-1 |
1 |
-2.19 |
y-axis |
4 |
6 |
2 |
0.05 |
The required graph of the given function is:
When we zoom the region of the graph around , we can see that in order to be within of , must be within the range . Thus must be at most away from .
Again we zoom the region of the graph around , we can see that in order to be within of , must be within the range . Thus must be at most away from .