If K is positive integer of the series, find the radius of the convergence

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- Jul 22nd 2007, 12:25 PMcamherokidSequences and series
If K is positive integer of the series, find the radius of the convergence

- Jul 22nd 2007, 01:44 PMThePerfectHacker

Ratio test,

Cancel a lot of stuff,

Now the numerator is a polynomial of degree with leading coefficient .

The denominator is a polynomial of degree and leading coefficient .

So the limit of this ratio is .

Which means the radius of convergence is .