Elementary Calculus: An Infinitesimal Approach, Second Edition

Dedicated to my sons, Randall, Jeffrey, and Thomas

This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-sa/2.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California, 93405, USA.

Copyright © 2000 by H. Jerome Keisler. Revised 2010 RevisedAugust December 2010 Revised May, 2009

1.3

(4),

(3, 1).

1

1/9.

(3,1),

With a calculator, compute some values as x approaches its limit, and see what happens.

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

y