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0 votes

asked Jun 3, 2015 in CALCULUS by anonymous

2 Answers

0 votes

e)

Step 1:

The series is .

Test the convergence using ratio test.

The Ratio Test:

Let  image be a series with nonzero terms.

1)image converges absolutely if image.

2)image diverges if image and image.

3) The Ratio Test is inconclusive if image.

Step 2:

Here and .

Find .

.

Therefore, by the ratio test the series is divergent .

Solution:

The series is  divergent.

answered Jun 3, 2015 by cameron Mentor
edited Jun 3, 2015 by cameron
0 votes

f)

Step 1:

The series is .

Test the convergence using ratio test.

The Ratio Test:

Let  image be a series with nonzero terms.

1)image converges absolutely if image.

2)image diverges if image and image.

3) The Ratio Test is inconclusive if image.

Step 2:

Here and .

Find .

image.

Therefore, the series is divergent by the ratio test.

Solution:

The series is  divergent .

answered Jun 3, 2015 by cameron Mentor
edited Jun 3, 2015 by cameron

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