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Power series and the interval of convergence

  • Thread starter GeekyGirl
  • Start date
  • #1
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Homework Statement


I need help finding the interval of convergence for f(x) = 3/(1-x^4).
I think that the summation would be [tex]\Sigma[/tex] 3 (x^4n) from n=0 to infinity, but I'm not sure how to get the interval of convergence.


Homework Equations


f(x) = 3/(1-x^4)


The Attempt at a Solution


see above
 

Answers and Replies

  • #2
33,630
5,288

Homework Statement


I need help finding the interval of convergence for f(x) = 3/(1-x^4).
I think that the summation would be [tex]\Sigma[/tex] 3 (x^4n) from n=0 to infinity, but I'm not sure how to get the interval of convergence.
Here's your summation in LaTeX. Click it to see how I formatted it.
[tex]\sum_{n = 0}^{\infty} 3x^{4n}[/tex]

Homework Equations


f(x) = 3/(1-x^4)


The Attempt at a Solution


see above
Use the Ratio Test and see what restrictions there are on |x| for the series to converge.
 

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