Question 1

Find the limit

Accepted Answer

A)  0 
B)  1 
C)    
D)  +$\infty$ 
E)  -$\infty$ 
A)  0 
B)  1 
C)    
D)  +$\infty$ 
E)  -$\infty$

Question 2

Answer true or false. It is possible to prove that   .

Accepted Answer

A) True 
 B)False

Question 3

Answer true or false. It is possible to show that   .

Accepted Answer

A) True 
 B)False

Question 4

Find   .

Accepted Answer

The answer of Find   ....

Question 5

Use this graph of f(x)   to find

Accepted Answer

A)  3 
B)  -1 
C)  It does not exist. 
D)  0 
E)  1 
A)  3 
B)  -1 
C)  It does not exist. 
D)  0 
E)  1

Question 6

Find a number $\delta$ such that |f(x) - L| < $\varepsilon$ if |x - 4| < $\delta$.   .

Accepted Answer

The answer of Find a number $\delta$ such that |f(x)...

Question 7

Approximate the limit by evaluating   at appropriate values of x.

Accepted Answer

A)    
B)    
C)    
D)  0 
E)    
A)    
B)    
C)    
D)  0 
E)

Question 8

Find   .

Accepted Answer

The answer of Find   ....

Question 9

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 10

Find the limit.

Accepted Answer

A)  0 
B)    
C)    
D)  1 
E)  +$\infty$ 
A)  0 
B)    
C)    
D)  1 
E)  +$\infty$

Question 11

Show that the equation f(x) = x3 + 8x + 3 has at least one solution in the interval [-2,2].

Accepted Answer

f(-2) = -21
f(2) = 27
Since f(

Question 12

Find the value of k, if possible, that will make the function continuous.

Accepted Answer

A)  -2 
B)  6 
C)  -6 
D)  2 
E)  None exists. 
A)  -2 
B)  6 
C)  -6 
D)  2 
E)  None exists.

Question 13

Find   where   .

Accepted Answer

A)  4 
B)  0 
C)  -4 
D)  $\infty$ 
E)  It does not exist. 
A)  4 
B)  0 
C)  -4 
D)  $\infty$ 
E)  It does not exist.

Question 14

Answer true or false. The function   is continuous everywhere.

Accepted Answer

A) True 
 B)False

Question 15

If   and   , what is   ?

Accepted Answer

The answer of If   and   ,...

Question 16

Find the x-coordinates for all points of discontinuity for   .

Accepted Answer

A)  6 and 2 
B)  6 
C)  -2 and -6 
D)  -2 
E)  2 
A)  6 and 2 
B)  6 
C)  -2 and -6 
D)  -2 
E)  2

Question 17

Find the equation of the tangent line to the graph of y = 3x5 at (-1, -3).

Accepted Answer

A)  y = 15x + 12 
B)  y = 15x 
C)  y = 12x 
D)  y = 12x + 15 
E)  y = 5x + 12 
A)  y = 15x + 12 
B)  y = 15x 
C)  y = 12x 
D)  y = 12x + 15 
E)  y = 5x + 12

Question 18

Use this graph of f(x)   to find

Accepted Answer

A)    
B)  0 
C)  It does not exist. 
D)  2 
E)  -3 
A)    
B)  0 
C)  It does not exist. 
D)  2 
E)  -3

Question 19

Find   .

Accepted Answer

The answer of Find   ....

Question 20

Determine if the discontinuity at x = 2 in the function   is removable.

Accepted Answer

@#IMG-DLM& So it is

Find the limit

Answer true or false. It is possible to prove that .

Answer true or false. It is possible to show that .

Find .

Use this graph of f(x) to find

Find a number $\delta$ such that |f(x) - L| < $\varepsilon$ if |x - 4| < $\delta$ . $Find a number \delta such that |f(x) - L| < \varepsilon if |x - 4| < \delta . .$ .

Approximate the limit by evaluating at appropriate values of x.

Find .

Answer true or false.

Find the limit.

Show that the equation f(x) = x³ + 8x + 3 has at least one solution in the interval [-2,2].

Find the value of k, if possible, that will make the function continuous.

Find where .

Answer true or false. The function is continuous everywhere.

If and , what is ?

Find the x-coordinates for all points of discontinuity for .

Find the equation of the tangent line to the graph of y = 3x⁵ at (-1, -3).

Use this graph of f(x) to find

Find .

Determine if the discontinuity at x = 2 in the function is removable.

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Exam 1: Limits and Continuity

Find the limit

Answer true or false. It is possible to prove that .

Answer true or false. It is possible to show that .

Find .

Use this graph of f(x) to find

Find a number δ\deltaδ such that |f(x) - L| < ε\varepsilonε if |x - 4| < δ\deltaδ . .

Approximate the limit by evaluating at appropriate values of x.

Find .

Answer true or false.

Find the limit.

Show that the equation f(x) = x3 + 8x + 3 has at least one solution in the interval [-2,2].

Find the value of k, if possible, that will make the function continuous.

Find where .

Answer true or false. The function is continuous everywhere.

If and , what is ?

Find the x-coordinates for all points of discontinuity for .

Find the equation of the tangent line to the graph of y = 3x5 at (-1, -3).

Use this graph of f(x) to find

Find .

Determine if the discontinuity at x = 2 in the function is removable.

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Find a number $\delta$ such that |f(x) - L| < $\varepsilon$ if |x - 4| < $\delta$ . $Find a number \delta such that |f(x) - L| < \varepsilon if |x - 4| < \delta . .$ .

Show that the equation f(x) = x³ + 8x + 3 has at least one solution in the interval [-2,2].

Find the equation of the tangent line to the graph of y = 3x⁵ at (-1, -3).