Chapter 1 Test

A short (45 minute) test of your limits.

The following examples are not supposed to be

all inclusive or comprehensive. Merely examples of previous problems from other

years.

-2 limits by table (just fill in provided table and

identify pattern, if one exists)

x 15.9 15.99 15.999 16 16.001 16.01 16.1

f(x) -

4

16lim

16

x

x

x

-3 limits by reading graph

21

21

212

21

1

1lim

x

xx

x

-5 limits by analysis (algebraic manipulation)

1 1( )

0lim

x c x

c c

x

x

x

3333lim

0

3 2

3lim 9 14d

d d d

-3 questions demonstrating understanding of principles of limits and continuity of

functions (answering questions about given functions or writing a function with given

characteristics)

Give an example (not on this test) of a function, g(x),

with a removable discontinuity. Give a function, h(x), that is

equivalent to it at every point except one.

-1 “gimme” question

Which is your favorite toe?

-The following five questions and answers will

not be on the test or recognized as accepted

answers.