Cram University
 
Username: Password:

Sign up (it's free!)   | |   forgot password?

 

Calc 1 1.4

 

<== Calculus 1
Number Question Answer
See the work

1.

 

Let

                 

Find the following limits if they exist.

 

1. 5

2. 5

3. 40

4. DNE

5. 0.625

6. 1.6

7. 0

8. DNE

9. -0.125 


The work

Point Cost: 1

2.

 

f(x)                                                            g(x)

 

The graph of ƒ and g are given above. Use them to evaluate each quantity below.                                     
 

 

1. 3

2. 4

3. 0

4. 0

The work

Point Cost: 1

3.

 

 

Evaluate the limit

 

3.1415926536 
The work

Point Cost: 1

4.

 

 

Evaluate the limit

 

10
The work

Point Cost: 1

5.

 

 

Evaluate the limit

 

-2/3
The work

Point Cost: 2

6.

 

 

 

Evaluate the limit

 

DNE
The work

Point Cost: 1

7.

 

 

Evaluate the limit

 

1/4
The work

Point Cost: 2

8.

 

 

Evaluate the limit

 

1.25
The work

Point Cost: 1

9.

 

 

Evaluate the limit

 

DNE
The work

Point Cost: 1

10.

 

 

Find (in terms of the constant a)

 

4a
The work

Point Cost: 2

11.

 

 

Find (in terms of the constant a)

 

(1/2)sqrt(6/a)
The work

Point Cost: 2

12.

 

Evaluate the limit

 

1/75
The work

Point Cost: 3

13.

 

 

Evaluate the limit

 

0
The work

Point Cost: 2

14.

 

 

 

Evaluate the limit

 

1/14
The work

Point Cost: 2

15.

 

 

 

Find (in terms of the constant a)

 

-(4/a^2)
The work

Point Cost: 3

16.

 

 

 

Evaluate the limit

 

-(1/4)
The work

Point Cost: 2

17.

 

 

 

Evaluate the limit

 

-(1/6)
The work

Point Cost: 1

18.

 

 

 

 

If

Determine

What theorem did you use to arrive at your answer

 

Limit= -4

The Squeeze theorem

The work

Point Cost: 2

19.

 

This problem uses the squeeze Theorem to find

Since,

where a=_______ and b=________

we have

with 

ƒ(x)=__________ and g(x)=________

since

it follows that also

 

a= -1

b= 1

ƒ(x)= -(x^4)^(1/3)

g(x)= (x^4)^(1/3)

lim ƒ(x)= 0

lim g(x)= 0

lim (x^4)^(1/3)(sin(3π/x)= 0            

The work

Point Cost: 3

20.

 

Let

Sketch the graph of this function and find the following limits if the exist

 

1. 0

2. 0

3. 36

4. 6

5. DNE

6. 0

 

The work

Point Cost: 2

21.

 

 

 

 

Evaluate the limits

 

1. 1

2. -1

3. DNE

The work

Point Cost: 1

22.

 

Let

Sketch the graph of this function and find the following limits if they exist

1. -8

2. 8

3. DNE

The work

Point Cost: 2