Power Series Question

[miniskus]

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]

 

[tkhunny]

A partial fraction decomposition might be a good starting place. If nothing else, it would make it easier to calculate the required derivatives.

 

[miniskus]

My teacher said that that was already decomposed, but now that you mention it I'm not sure...

 

[miniskus]

If i break it in (-3x)/(2-x)^2 + 9/(2-x)^2 I guess that would make it better.

 

[Matt]

Even better:

. . . .