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.
![mc001-1.jpg](chapter_12_pre_test_files/mc001-1.jpg)
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2.
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Determine whether the statement is true or
false.
The limit of a function as x approaches c does not exist if the function
approaches from the left of c and 5 from the
right of c.
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3.
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Use the graph to determine the limit visually (if
it exists). Then identify another function that agrees with the given function at all but one
point.
![mc003-1.jpg](chapter_12_pre_test_files/mc003-1.jpg)
![mc003-2.jpg](chapter_12_pre_test_files/mc003-2.jpg)
![mc003-3.jpg](chapter_12_pre_test_files/mc003-3.jpg)
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4.
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Graphically approximate the limit (if it exists) by
using a graphing utility to graph the function.
![mc004-1.jpg](chapter_12_pre_test_files/mc004-1.jpg)
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5.
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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.
![mc005-1.jpg](chapter_12_pre_test_files/mc005-1.jpg)
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6.
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Find the derivative of
the function.
![mc006-1.jpg](chapter_12_pre_test_files/mc006-1.jpg)
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7.
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Find the derivative of
the function.
![mc007-1.jpg](chapter_12_pre_test_files/mc007-1.jpg)
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8.
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Find the slope of the
graph of at the given point.
![mc008-2.jpg](chapter_12_pre_test_files/mc008-2.jpg)
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9.
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Find a formula for the slope of the graph of .
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10.
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Find the limit (if it exists).
![mc010-1.jpg](chapter_12_pre_test_files/mc010-1.jpg)
a. | ![mc010-2.jpg](chapter_12_pre_test_files/mc010-2.jpg) | b. | ![mc010-3.jpg](chapter_12_pre_test_files/mc010-3.jpg) | c. | 3 | d. | –3 | e. | Does not
exist |
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11.
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Find the limit (if it exists).
![mc011-1.jpg](chapter_12_pre_test_files/mc011-1.jpg)
a. | 8 | b. | –2 | c. | –8 | d. | 2 | e. | Does not
exist |
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12.
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Find the limit (if it exists).
![mc012-1.jpg](chapter_12_pre_test_files/mc012-1.jpg)
a. | ![mc012-2.jpg](chapter_12_pre_test_files/mc012-2.jpg) | b. | –![mc012-3.jpg](chapter_12_pre_test_files/mc012-3.jpg) | c. | –![mc012-4.jpg](chapter_12_pre_test_files/mc012-4.jpg) | d. | ![mc012-5.jpg](chapter_12_pre_test_files/mc012-5.jpg) | e. | Does not exist |
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13.
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Find the limit (if it exists).
![mc013-1.jpg](chapter_12_pre_test_files/mc013-1.jpg)
a. | –7 | b. | –3 | c. | 7 | d. | 0 | e. | Does not
exist |
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14.
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Select the correct graph of the following
function.
![mc014-1.jpg](chapter_12_pre_test_files/mc014-1.jpg)
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15.
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Find the first five terms of the
sequence.
![mc015-1.jpg](chapter_12_pre_test_files/mc015-1.jpg)
a. | 1,
, , , ![mc015-10.jpg](chapter_12_pre_test_files/mc015-10.jpg) | b. | 1, , , , ![mc015-19.jpg](chapter_12_pre_test_files/mc015-19.jpg) | c. | 1, , , , ![mc015-28.jpg](chapter_12_pre_test_files/mc015-28.jpg) | d. | 1, , , , ![mc015-37.jpg](chapter_12_pre_test_files/mc015-37.jpg) | e. | , , , , ![mc015-47.jpg](chapter_12_pre_test_files/mc015-47.jpg) |
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16.
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Use the first six terms to predict the limit of the
sequence
![mc016-1.jpg](chapter_12_pre_test_files/mc016-1.jpg) (assume n begins with 1).
a. | 0 | b. | 55 | c. | ![mc016-2.jpg](chapter_12_pre_test_files/mc016-2.jpg) | d. | 72 | e. | the sequence
diverges |
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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 | | | | | | | | | | | | | |
![mc017-8.jpg](chapter_12_pre_test_files/mc017-8.jpg)
(Round the answer to four decimal places.)
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18.
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Use to complete the
table.
![mc018-8.jpg](chapter_12_pre_test_files/mc018-8.jpg)
(Round the answer to 5 decimal
places.)
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19.
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Rewrite
![mc019-1.jpg](chapter_12_pre_test_files/mc019-1.jpg) as a rational function and find
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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 .
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