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I have questions for each one really. They are as follows:

4)

a. Can I simply factor out the alternating series and apply a test since the alternating portion is constant?

b. Similar to my question from a.

c. Not sure of what test to apply for convergence tests. I have tried both the nth root test and the ratio test and neither work.

d. Similar to my question from c.

5)

a) Again can I factor out the alternating series and say that it is similar to 1/(n)^(1/2) and 1/2<1 so it diverges.

b) and c) - I have literally no idea.

d)Same as a in that I want to know if i can factor out the constant alternating section

e) and f) - No idea

I have a general idea on most problems. Most of my questions are on the same thing that I need confirmed. Also I know the tests for Absolute and Conditionally convergent.

Any sort of help or confirmation on my assumptions is greatly appreciated.