Power series and the interval of convergence

[GeekyGirl]

Homework Statement

I need help finding the interval of convergence for f(x) = 3/(1-x^4).
I think that the summation would be $$\Sigma$$ 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

 

[Mark44]

Homework Statement

I need help finding the interval of convergence for f(x) = 3/(1-x^4).
I think that the summation would be $$\Sigma$$ 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.
$$\sum_{n = 0}^{\infty} 3x^{4n}$$

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.