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## Homework Statement

Find a power series representation for the function

f(x) = x / (4+x)

and determine the interval of convergence.

I have no idea how to begin this problem.

My only guess would be trying to divide something out in order to simplify to something that I'm able to create something of the form (x+c)^n

I can work out to the interval of convergence, I am just unsure of how to create the representation.