Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Consider the graph of f(x)
shown at the right.
Determine the following limit:
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a. | 0 | c. | -3 | b. | 1 | d. | Does Not Exist |
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2.
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Given the graph of f(x), determine the
following limit:
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a. |  | c. | 2 | b. | 1.9 | d. | 3 |
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3.
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Given the graph of f(x), determine the
following limit:
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a. | -4 | c. | 3 | b. | -2 | d. | Does Not
Exist |
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4.
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Given the graph of f(x), determine the
following limit:
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a. | 1 | c. |  | b. |  | d. | Does Not
Exist |
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5.
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Given the graph of f(x), determine the
following limit:
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a. | 1 | c. |  | b. | 5 | d. | Does Not
Exist |
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6.
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Given: 
Is it
possible  ?
a. | Yes. f(x) can approach different values as x approaches 5 from
different sides. | b. | Yes. f(x) can approach different values as x approaches 5 and
–5. | c. | No. As x approaches 5 from the left, f(x) must approach
1. | d. | No. As x approaches 5 from the right, f(x) must approach
1. |
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7.
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Using your calculator determine the most likely limit, (if it
exists).  a. |  | d. | 1 | b. |  | e. | 6 | c. | 0 | f. | Does Not Exist |
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8.
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Using your calculator determine the most likely limit, (if it
exists).  a. |  | d. | 2 | b. | 6 | e. | 1 | c. | 3 | f. | Does Not Exist |
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9.
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Using your calculator determine the most likely limit, (if it
exists).  a. |  | d. |  | b. |  | e. | 2 | c. |  | f. | Does Not
Exist |
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10.
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a. | 0; by the in between theorem | d. | 1; by the mean value
theorem | b. | 0; by the squeeze limit theorem | e. |  | c. | 1; by the
intermediate value theorem | f. |  |
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11.
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Consider the two functions graphed above and limit laws to
evaluate the following:  a. | 1 | d. | 4 | b. | 2 | e. | 5 | c. | 3 | f. | The limit
does not exist. |
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12.
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A student is trying to prove the following limit:  and would like to show for some small value of  :  would imply  What would be the largest value of  that should be assumed to show the relationship? a. |  | d. |  | b. |  | e. |  | c. |  | f. | It is not
possible to determine the value of  . |
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