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limits

0 votes

asked Jan 29, 2015 in PRECALCULUS by anonymous

4 Answers

0 votes

Step 1:

1)The limit value is image.

image

image

image

If image.

image

image

image

Step 2:

2)

The limit is image.

image           (Since image)

image

Recall property of limit:image.

image

image

answered Jan 29, 2015 by cameron Mentor
edited Jan 29, 2015 by cameron
0 votes

Continued:

Step 3:

3)

The limit function is image.

image

image

image

image

Recall property of limit:image.

image

image

Step 4:

4)

The limit function is image

Find the left hand limit :

image           (Since image)

image

image

Find the right hand limit:

image               (Since image)

image

image

Since the left hand limit is not equal to the right hand limit, limit does not exist.

Limit does not exist at image.

Solution:

1) image.

2) image.

3) image.

 

4) Limit does not exist at image.

answered Jan 29, 2015 by cameron Mentor
0 votes

Step 1:

5)The limit value is .

Consider .

image

Multiply the numerator and denominator by .

                            (Since image)

 

image

substitute image inimage.

image

image

image

image

image.

 

Solution:

5)image.

answered Jan 30, 2015 by cameron Mentor
0 votes

Step 1:

6)The limit is image

image                      (Since image)

image

image

image

image

image

image.

 

Solution:

6)image.

answered Jan 30, 2015 by cameron Mentor

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