Review of Limits and Continuity                                             Name _________________________

 

A Puzzle by David Pleacher

 

Directions: Solve each of the following problems on limits and continuity:

 

MATCHING

 

 

1.

To prove  choose  =

 

A.

 

2

 

__________

2.

Test for Continuity at x =1:

  f(1) = 3

 

C.

 

-2.5

 

__________

 

3.

 

D.

 

0

 

__________

 

4.

 

E.

 

4

 

__________

 

5.

 

F.

 

 

__________

 

6.

 

H.

 

36

 

__________

 

7.

Test for continuity at x = 2:

 f(2) = 4

 

I.

 

 

__________

 

8.

 

J.

 

CONTINUOUS @ x=1

 

__________

 

9.

 

K.

 

NOT CONTINUOUS @ X=1

 

__________

 

10.

 

L.

 

DOES NOT EXIST

 

 

__________

 

11.

 

M.

 

-8

 

__________

 

12.

 

N.

 

CONTINUOUS @ X = 5

 

 

13.

To prove choose  =

 

O.

 

CONTINUOUS @ X = 2

 

__________

 

14.

 

P.

 

NOT CONTINUOUS @ X = 5

 

__________

 

15.

Test for continuity at x = 2:

 

R.

 

NOT CONTINUOUS @ X = 2

 

__________

 

16.

 

Test for continuity at x = 5:

 

S.

 

14

 

__________

17.

T.

 

__________

 

18.

 

U.

 

11

 

V.

 

 

W.

 

3

 

Y.

 

Z.

 

NONE OF THE ABOVE

 

 

 

 

1. Match each problem on the left (above) with an answer from the right-hand column.

 

2. Now write the corresponding letter to each problem in the spaces below.

 

 

 

_______

 

_______

 

______

 

 

_____

 

_____

 

_____

 

_____

     7

      5

3

   10

    9

   18

17

 

_____

 

_____

 

______

 

______

 

_____

 

_____

 

_____

 

_____

    18

   14

     9

8

   17

    14

    15

   6

 

______

 

______

 

______

 

______

 

_____

 

_____

 

_____

 

_____;

    16

   14

    13

     14

   15

     3

    12

    14

 

______

 

______

 

_______

 

______

 

 

_____

 

_____

 

_____

 

_____

    18

    17

     14

1

    2

     4

      6

    18

 

______

 

______

 

_______

 

______

 

_____

 

_____

    18

    14

     16

      3

    18

     7

 

_____

 

_____

 

______

 

______

 

_____

 

_____

 

_____

 

_____

    12

    16

     11

    12

   16

    12

   18

    1

 

 

Many thanks to Kathy Rivers for retyping this review sheet.

Send comments to: David Pleacher