Complete the table for the function and find the indicated limit. Lim x^3-6x+8/x-2 x-0 x]-0.1| -0.01,|-0.001|0.1 F(x)= 4.09476; 4.00995; 4.00100;….

F(x)=

4.09476; 4.00995; 4.00100; 3.99900; 3.98995; 3.89526 limit = 4.0

-2.18529; -2.10895; -2.10090; -2.09910; -2.09096; -2.00574 limit = -2.10

-1.22843; -1.20298; -1.20030; -1.19970; -1.19699; -1.16858 limit = -1.20

-4.09476; -4.00995; -4.00100; -3.99900; -3.98995; -3.89526 limit = -4.0

2.

Lim 5

x->2

-5

5

0

2

4.

1/3

1/12

3

12

5. Use the definition of continuity to determine whether f is continuous at a.

F(X)= x-4/x+5;A=4

not Continuous

Continuous

6.

not Continuous

Continuous

7.

5

None

0

-5, 5

8.

2

-2

-6

6

9.

x | -.03| |-0.02 | -0.01| 0.01 | 0.02 | 0.03|

F(X)|

-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0.1

-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 0

-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = -1

-0.0300, -0.0200, -0.0100, 0.0100, 0.0200, 0.0300 limit = 1

10

Use properties of limits to find the indicated limit. It may be necessary to write an expression before limit properties can be applied.

Lim (2x^2+2x+3)^2

x->

-9

9

does not exist

1

11.Use the definition of continuity to determine whether f is continuous at a.

f(x) = 5×4 – 9×3 + x – 7a = 7

Question 16 options:

Not continuous

Continuous

12.x

Lim F(x)

x->0

1

0

-7

7

13.The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width, and height each measure x inches. If x is changing, find the average rate of change of the volume with respect to x as x changes from 1 inches to 1.1 inches.

Question 18 options:

23.31 cubic inches per inch

2.33 cubic inches per inch

-3.31 cubic inches per inch

3.31 cubic inches per inch

14.Find the derivative of f at x. That is, find f ‘(x). f(x) = 7x + 8; x = 5

Question 19 options:

40

8

7

35

15.

Find the slope of the tangent line to the graph of f at the given point.

f(x) = x2 + 5x at (4, 36)

Question 20 options:

9

13

3

21