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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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.
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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.
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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.
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6.
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Find the derivative of
the function.
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7.
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Find the derivative of
the function.
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8.
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Find the slope of the
graph of  at the given point.
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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).
a. |  | b. |  | c. | 3 | d. | –3 | e. | Does not
exist |
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11.
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Find the limit (if it exists).
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).
a. |  | b. | – | c. | – | d. |  | e. | Does not exist |
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13.
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Find the limit (if it exists).
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.
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15.
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Find the first five terms of the
sequence.
a. |  1, 
 ,   ,   ,   | b. |  1,   ,   ,   ,   | c. |  1,   ,   ,   ,   | d. |  1,   ,   ,   ,   | e. |   ,   ,   ,   ,   |
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16.
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Use the first six terms to predict the limit of the
sequence
(assume n begins with 1).
a. | 0 | b. | 55 | c. |  | 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 | | | | | | | | | | | | | |
(Round the answer to four decimal places.)
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18.
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Use  to complete the
table.
(Round the answer to 5 decimal
places.)
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19.
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Rewrite
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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