Power Series Question

miniskus

New member
Joined
Jun 13, 2005
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8
I need to come up with a power series centered at 1 and determine the radius of convergence of h(x)=(-3x+9)/(2-x)^2 but I don't know where to start! Thanks a lot![/i]
 
A partial fraction decomposition might be a good starting place. If nothing else, it would make it easier to calculate the required derivatives.
 
My teacher said that that was already decomposed, but now that you mention it I'm not sure...
 
If i break it in (-3x)/(2-x)^2 + 9/(2-x)^2 I guess that would make it better.
 
Even better:

. . . .
better.png
 
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