For which values of x does converge? Justify your answer. Now, I reckon the sequence converges for -1>x<1, because anything else looks like it will just diverge... but how do I go about "justifying" this?
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Originally Posted by Unenlightened For which values of x does converge? Justify your answer. Now, I reckon the sequence converges for -1>x<1, because anything else looks like it will just diverge... but how do I go about "justifying" this? Let You have to find the radius (and hence the interval) of convergence for this power series. You can use the ratio test. Start by finding
Last edited by Roam; Dec 6th 2009 at 01:34 PM.
root test also works here.
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