### Substituting series expansions into each other

Consider the formal power series f(x) = x + x^2/2 + x^3/6 + x^4/24 and g(x) = x - x*/2 + x^3/3 - x^4/4. Compute by hand the first five coefficients (i.e., up to the coefficient of x^4) of (a) h(x) = x^f(x) (d) k(x) = log(1 + g(x)) (c) m(x) = (h o k)(x)