(a)
To check: The statement is true or false.
(a)
Answer to Problem 43E
The statement is true.
Explanation of Solution
Given information:
Calculation:
The given statement is read as the limit of
Therefore the statement is true.
(b)
To check: The statement is true or false.
(b)
Answer to Problem 43E
The statement is true.
Explanation of Solution
Given information:
The given statement is read as the limit of
(c)
To check: The statement is true or false.
(c)
Answer to Problem 43E
The statement is false.
Explanation of Solution
Given information:
The given statement is read as the limit of
(d)
To check: The statement is true or false.
(d)
Answer to Problem 43E
The statement is true.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
Both the left-hand and right-hand limits are 0, so they are equal and thus the statement is true.
(e)
To check: The statement is true or false.
(e)
Answer to Problem 43E
The statement is true.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
Both the left-hand and right-hand limits are 0, so they are equal and thus the statement is true.
(f)
To check: The statement is true or false.
(f)
Answer to Problem 43E
The statement is true.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
Both the left-hand and right-hand limits are 0, so they are equal and thus the statement is true.
(g)
To check: The statement is true or false.
(g)
Answer to Problem 43E
The statement is false.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
Both the left-hand and right-hand limits are 0 and not 1, so they are not equal and thus the statement is false.
(h)
To check: The statement is true or false.
(h)
Answer to Problem 43E
The statement is false.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
Both the left-hand and right-hand limits are 0 and not 1, so they are not equal and thus the statement is false.
(i)
To check: The statement is true or false.
(i)
Answer to Problem 43E
The statement is false.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
The left-hand and right-hand limits are not equal which means the limit does not exist so the statement is false.
(j)
To check: The statement is true or false.
(j)
Answer to Problem 43E
The statement is false.
Explanation of Solution
Given information:
To find the left-hand limit, trace the graph of the function from the left and approach
To find the right-hand limit, trace the graph of the function from the left and approach
Both the left-hand and right-hand limits are 0 and not 2, so they are not equal and thus the statement is false.
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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