Dedicated to my sons, Randall, Jeffrey, and Thomas
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Attribution-NonCommercial-ShareAlike License.
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Copyright © 2000 by H. Jerome Keisler.
Revised August
2010
Revised
February
2012
Revised
May,
2009
1.3
(4),
(3, 1).
1
1/9.
(3,1),
|st(b)| > 0
With a calculator, compute some values as x approaches its limit, and see what happens.
have
Note: our proof used the fact that f has a maximum and minimum on each
closed interval. That fact, called the Extreme Value Theorem, is proved on page 164.
With a calculator, compute some values as x approaches its limit, and see what happens.
With a calculator, the student should try this for some of the limits on pages 124 and 241.
Then check your answer by using a graphics calculator to draw the graph.
F(0,1/4a)
1/(4a). Its
d = 1/4a.
a=1/4d,
d=1/4a
y = --(1/2)
1/2 and d =1/4a
1/4a
1/4a),
1/4a.
1/4a.
+ 1/4a)
(0,1/4a),
1/4a=
1/4a.
9/16
Boyer, p. 217.
Boyer, p. 217.
3/4
40
y