Assignment:
Consider the formal power series f(x) = x + x2/2 + x3/6 + x4/24 and g(x) = x - x2/2 + x3/3 - x4/4. Compute by hand the first five coefficients (i.e., up to the coefficient of x4) of
(a) h(x) = xf(x)
(d) k(x) = log(1 + g(x))
(c) m(x) = (h o k)(x)
Provide complete and step by step solution for the question and show calculations and use formulas.