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Calc 1 1.6

 

<== Calculus 1
Number Question Answer
See the work

1.

 

 

 

 

 

For each of the following limits, enter either ’P’ for positive
infinity, ’N’ for negative infinity, or ’D’ when the limit simply                       
does not exist.

 

P

N

D

The work

Point Cost: NA

2.

 

 

Evaluate

 

-∞
The work

Point Cost: NA

3.

 

 

 

 

 

For each of the following limits, enter either ’P’ for positive
infinity, ’N’ for negative infinity, or ’D’ when the limit simply           
does not exist.

 

P

P

P

The work

Point Cost: NA

4.

 

 

 

 

Evaluate the following limits

a) lim as x aproaches inf of (2+x)/(3-2x)

b)lim as x aproaches inf of (2+x)/(3-2x)

 

a) -3.5

b) -3.5 

The work

Point Cost: 2

5.

 

 

 

 

Evaluate the following limits

a) Evaluate the following limits  a) lim as x aproaches inf of (2+x)/(3-2x)  b)lim as x aproaches inf of (6x^3-7x^2-7x)/(11-5x-9x^3)

b)Evaluate the following limits  a) lim as x aproaches inf of (2+x)/(3-2x)  b)lim as x aproaches inf of (6x^3-7x^2-7x)/(11-5x-9x^3)

 

a) -2/3

b) -2/3

The work

Point Cost: 2

6.

 

 

 

 

 

Evaluate the following limits

a) Evaluate the following limits  a) lim as x aproaches inf of (2+x)/(3-2x)  b)lim as x aproaches inf of (8x+8)/(7x^2-5x+5)

 

b)Evaluate the following limits  a) lim as x aproaches inf of (2+x)/(3-2x)  b)lim as x aproaches inf of (8x+8)/(7x^2-5x+5)

 

a) 0

b) 0

The work

Point Cost: 2

7.

 

 

 

 

Evaluate the following limits

a) 

b)Evaluate the following limits  a) lim as x aproaches inf of (2+x)/(3-2x)  b)lim as x aproaches inf of (6-x)(7+9x)/(3-3x)(6+5x)

 

a) 6/10 

b) 6/10

The work

Point Cost: 2

8.

 

 

 

 

Evaluate the following limits

a) sqrt(10+10x^2)/(7+10x)

b)sqrt(10+10x^2)/(7+10x)

 

a) 0.31622776602

b) -0.31622776602

The work

Point Cost: 3

9.

 

 

Evaluate

lim as x approaches inf of sqrt(25x^2+x)-5x

 

1/10
The work

Point Cost: 3

10.

 

 

Evaluate the limit

Evaluate the following limits  a) lim as x aproaches inf of (2+x)/(3-2x)  b)lim as x aproaches inf of sqrt(x^2+2)-sqrt(x^2-4)

 

0
The work

Point Cost: 2

11.

 

 

Evaluate

6cosx

 

DNE
The work

Point Cost: NA

12.

 

 

Evaluate

 

0
The work

Point Cost: 2

13.

 

 

Evaluate

 

The work

Point Cost: 1

14.

 

 

Evaluate the following limit

 

0
The work

Point Cost:

15.

 

 

Evaluate the following limits

 

a) ∞

b) -∞

The work

Point Cost:

16.

 

 

 

Evaluate the following limits

 

-1
The work

Point Cost:

17.

 

 

Evaluate the following limits

 

a) -∞

b) -∞

The work

Point Cost:

18.

 

 

 

 

Let

ƒ(x)=(x^2-x-6)/(3x^2+3x-6)

Find the equations of the horizontal asymptotes and the vertical
asymptotes of ƒ(x).
Horizontal asymptotes: y=_______
Vertical asymptotes: x=_______

 

y= 1/3

x= 1

The work

Point Cost: 2

19.

 

 

 

 

Let

ƒ(x)=(6x^2-4x+3)/(x^2-15x+56)

Find the equations of the horizontal asymptotes and the vertical
asymptotes of ƒ(x).
Horizontal asymptotes: y=_______
Vertical asymptotes: x=_______

 

y= 6

x= 7, 8

The work

Point Cost: 2

20.

 

 

 

 

Let

ƒ(x)=(x-9)/(sqrt(4x^2+2x+4))

Find the equations of the horizontal asymptotes and the vertical
asymptotes of ƒ(x).
Horizontal asymptotes: y=_______
Vertical asymptotes: x=_______

 

y= 0.5, -0.5

x= None

The work

Point Cost: 1

21.

 

Determine the infinite limit of the following function

 

1. ∞

2. ∞

3. -∞

4. ∞

The work

Point Cost:

22.

 

 

 

Find the rational function if the vertical
asymptotes are x= -7/6 and x= 6/4 and the
horizontal asymptote is y= -7/24 and the
x-intercepts are x= 6/7 and x= -4 respectively.
ƒ(x)=_______

 

((7x-6)*(x+4))/
((-6x+-7)(4x-6))

 

The work

Point Cost: 3