Alternative examples, alternating series test

In summary: Not sure what you are trying to say.Sure, but write it even differently. Write it so that the odd term is ##1/n## and the even term is...Not sure what you are trying to say.In summary, when dealing with alternating series tests, 3 requirements must be met: the series must alternate, u(sub n) must be greater than u(sub n+1) for all n ≥ N, and u(sub n) must go to zero as n → ∞.
  • #36
each term of the series*
 
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  • #37
It means the terms converge to zero.
 
  • #38
So when i read this, I think of a wave dimming. Is this the right idea?
 
  • #39
Uh, I don't know. I don't have that picture in my mind. But yours could be helfpul.
 
  • #40
Okay, so here is my problem, I am working on 2(1/n)^n. The ^n is to make it alternate. the 1/n is to make it go to zero, and then the 2 is to make it not go to zero. How can something diverge, and still go to zero?
 
  • #41
2(-1/n)^n, sorry about that
 

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