Question #3400170

Infinite Series Sum Question Help Please?

For each of the following two series, determine whether it is absolutely convergent, conditionally convergent or divergent. Justify your answers. (-1)^n * Tan^2(1/x^1/3) Now I started of by removing the -1 to prove absolute convergence. I used the direct comparison to prove divergence since 1/x^2/3 < Tan^2(x^1/3) I hope the above is right, please correct me if I am wrong. I then moved on to consider it with the -1^n and tryed the alternating series test. The first condition is met since the limit does approach zero but I'm baffled if the second is met where it is a decreasing function? Please help me out with this and point out any flaws in my logic that you can find.

2013-03-20 05:22:28

TELL US , if you have any answer

There is NEVER a problem, ONLY a challange!

The is a free-to-use knowledgebase.
  The was started on: 02.07.2010.
  It's free to register. Once you are a registered user, you can ask questions, or answer them.
  (Unless registration you can just answer the questions anonymously)
  Only english!!! Questions and answers in other languages will be deleted!!

Cheers: the PixelFighters


C'mon... follow us!

Made by, history, ect.