## Quiz Information

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## Sample Document Text

MTH 121 - Summer - 2005
Essex County College - Division of Mathematics
Quiz # 21 - May 11, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Evaluate the limit, if it exists.
limx??4 4
?1 + x?1
4 + x
Solution:
limx??4 4
?1 + x?1
4 + x = limx??4
4?1 + x?1
4 + x ·
4x
4x = limx??4
(x + 4)
4x(4 + x) = limx??4
1
4x = ?
1
16
2. Use a table of values to estimate (4 decimal places) the value of the given limit.
limx?0 9
x ?5x
x
Solution: Tables may vary, but your table should roughly produce the following.
limx?0 9
x ?5x
x = ln9?ln5 = ln
9
5 ? 0.5878
3. Evaluate the limit, if it exists.
limx?0
parenleftbigg1
x ?
1
x(x + 1)
parenrightbigg
Solution:
limx?0
parenleftbigg1
x ?
1
x(x + 1)
parenrightbigg
= limx?0 x + 1?1x(x + 1) = limx?...

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