Wetzel                                                                                                                                                                                                          Summer 2006

Math 140

Test #1

                                                                                                                                                                                Name:_______________________

1.)  State the 3 cases when a limit does not exist. (6 pts.)

            1.)  ________________________________

2.)    ________________________________

3.)    ________________________________

2.)  Use the following graph of f(x) to answer the following.  (18 pts.)

            A.)  __________

            B.)  __________

            C.)  __________

            D.)  __________

            E.)  __________

F.)    What type of discontinuity occurs at x = 1?  ______________________

3.)  The function  has:  ( 6 pts.)

            A.) a vertical asymptote at x = 3.

            B.) a horizontal asymptote at y = .

            C.) a removable discontinuity at x = 3.

            D.) none of the above.

(# 4 – 17 / 5 pts. Each)

4.)  Let

     Which of the following is/are true?

                        I.  f(0) exists

                        II.  f(x) is continuous at x = 0

                        III.  exists

            A.)  I only                                 D.)  I and III only

            B.)  II only                                E.)  All of them

            C.)  I and II only

5.)    =  __________

6.)    =  __________

7.)   =  __________

8.)   =  __________

9.)   =  __________

10.)   =  __________

11.)   =  __________

12.)   =  __________

13.)   =  __________

14.)   =  __________

15.)   =  __________

16.)   =  __________

17.)   =  __________

BONUS:  ( 5 pts.)         =  _______________