anonymous
  • anonymous
I am trying to determine if the following is absolutely or conditionally convergent or divergent....
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\sum_{n=1}^{\infty} (\sin 4n / 4^{n})\]
anonymous
  • anonymous
Ok. We can treat sin(4n) as (-1)^n. This is because the sine function varies between -1 and 1.
anonymous
  • anonymous
So that would give us [(-1)^n]/4^n. What kind of series does that look like?

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anonymous
  • anonymous
so use the alternating series test?
anonymous
  • anonymous
Yes :)
anonymous
  • anonymous
ok, for some reason I thought I could only do that with cos
anonymous
  • anonymous
I don't know why
anonymous
  • anonymous
Nope works for both. Don't worry I get hiccups like that all the time. :)
anonymous
  • anonymous
thanks, pops!
anonymous
  • anonymous
you just helped me too pops I am doing an assignment on that as we speak
anonymous
  • anonymous
Your welcome :)

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