Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Select the correct graph for the following function
using a graphing utility.
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2.
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Use the given information to evaluate the
limit.
a. | 
–66 | b. | 
11 | c. | 
–65 | d. | 
–64 | e. | 
–6 |
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3.
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Find the limit by direct substitution.
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4.
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Find the limit by direct substitution. Round your
answer to two decimal places.
a. |  =
8103.08 | b. |  =
2.72 | c. |  =  | d. | 
= 20.09 | e. |  =
–20.09 |
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5.
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Complete the table and use the result to
estimate numerically.
x | –7.1 | –7.01 | –7.001 | –7 | –6.999 | –6.99 | –6.9 | f(x) | | | | ? | | | | | | | | | | | |
a. |  | b. | –11 | c. | 11 | d. | ¥ | e. | limit does not
exist |
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6.
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Use the graph to find
a. | limit does not exist | b. | 3 | c. | ¥ | d. |  | e. | 0 |
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7.
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Use the limit process
to find the slope of the graph of the function at the specified point. Use a graphing utility to
confirm your result.
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8.
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Find a formula for the
slope of the graph of  at the point  . Then use it
to find the slope at the given point.
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9.
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Select a graph of the
function and the tangent line at the point  .
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10.
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Find the derivative of
the function.
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11.
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Find the limit (if it exists).
a. | 12 | b. | 7 | c. | –7 | d. | 5 | e. | Does not
exist |
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12.
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Find the limit (if it exists).
a. |  | b. |  | c. | – | d. | – | e. | Does not exist |
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13.
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Find the limit (if it exists).
a. |  | b. | – | c. |  | d. | – | e. | Does not exist |
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14.
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Find the first five terms of the
sequence.
a. |   ,   ,   ,   ,   | b. |   ,   ,   ,   ,   | c. |   ,   ,   ,   ,   | d. |   ,   ,   ,   ,   | e. |   ,   ,   ,   ,   |
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15.
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Complete the table and numerically estimate the
limit as x approaches infinity for the following function.
Select the correct
answer.
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16.
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17.
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Complete the table using the function  , over the specified interval  to approximate the area of the region bounded
by the graph of  , the x-axis, and the vertical lines
 and  using the
indicated number of rectangles. Then find the exact area as  .
| n | 4 | 8 | 20 | 50 | 100 | | | Approximate area | | | | | | | | | | | | | |
(Round the answer to two decimal places.)
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18.
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Use the limit process to find the area of the
region between the graph of the function and the
x-axis over the specified
interval.
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19.
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Use the limit process to find the area of the
region between the graph of the function and the
x-axis over the specified
interval.
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20.
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Use the limit process to find the area of the
region between  and the x-axis on the interval  .
a. | 228 | b. | 108 | c. | 180 | d. | 408 | e. | 188 |
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