Hello, I have to find the radius of convergence with this series I've tried the root test and the ratio test but the solution they give seem inconclusive, is the any clues as to what I should do? Thank you
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Originally Posted by iPod Hello, I have to find the radius of convergence with this series I've tried the root test The root test works. For what values does converge?
Oh I see, so basically it converges to 0 if |z|<1, meaning the series converges anywhere (provided |z|<1)
Actually, |z|<2 because it's |z/2| < 1
Originally Posted by iPod Actually, |z|<2 because it's |z/2| < 1 NO! you were right the first time. Look at the webpage. You can play around with the numerator to see how it works.
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