Assignment:
(a) Find a power series representation for f(x) = ln(1+x). What is the radius of convergence?
(b) Use part (a) to find a power series for f(x) = x ln(1+x).
(c) Use part (a) to find a power series for f(x) = ln (x^(2)+1).
Provide complete and step by step solution for the question and show calculations and use formulas.