Find a power series for the function, centered at c. 1 f(x) = C = 0 1-7x'

Represent this function by a power series. Then find the interval of convergence. f(x)= x/(9+x^2)

Find a power series representaton for  f(x) = 1/(5+2x)

Find a power series for the function, centered at C and determine the interval of convergence (function is h(x) and C = 0).h(x)=1/(1-5x) Also see the attached picture of the problem.