Please help me with this one...i don't really understand how can i to solve it, and what the nth coefficient here?
Show that the radius of convergence of the power series:
is 1 and discuss convergence for
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Try the ratio test... , so .
The series will be convergent when .
So the series is convergent when and divergent when . You will need to do some further analysis to determine the convergence/divergence when .
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