Find a power series representative of the function and determine it's interval of convergence.
$$g(x)=\frac{1}{(1-x)^2}$$

Question

Find a power series representative of the function and determine it's interval of convergence. 
$$g(x)=\frac{1}{(1-x)^2}$$

turingtest · Answer

so do you understand how they get the power series representation of the function in that example? http://tutorial.math.lamar.edu/Classes/CalcII/PowerSeriesandFunctions.aspx

turingtest · Answer

at which point exactly do you feel lost?

anonymous · Answer

I believe I do. 
I compare it to equation 2 $$\sum_{n=0}^\infty x^n=\frac{1}{1-x}$$
so in this case it's 
$$\sum_{n=0}^\infty$$    
somehow I want to do this, make the equation into a similar form and substitute into the sum :
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