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posted by  shallow_bay on 7/24/2008 8:23:20 AM  |  status: Live  

Radius of Convergence

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Find the radius of convergence of the series about x0=-5
 
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posted by darylrocks on 7/24/2008 9:01:32 AM  |  status: Live
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This is a power series of the form t = x + 5 with coefficients an =8n.
∴
∴ The radius of convergence is R =
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posted by Achilles on 7/24/2008 9:37:12 AM  |  status: Live
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Using ratio test
∴
.................................>series diverges if >1 and converges if <1..............................................>∴ radius of convergence=1/8
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