Question

Find a power series representation centered at (a) for the function and determine all values of x where the power series converge

Answer 1

\[\frac{ (x+2)^2 }{ 5-x} ,a=-2\]

Answer 2

I set t=x+2
x=t-2

((t-2)+2)^2/(5-(t-2)

t^2/-t+7

Answer 3

IDK what to do after this

Answer 4

\[-\frac{ t }{ 7 }\]???