5x Represent the function as a power series f(x) = >, Cnx" 6+ x n=0 Co = C1 = C2 = C3 = C4 =

Derive an 0(h¹) five-point formula to approximate f'(x) that uses f(x − h), f(x), ƒ (x + h), ƒ (x + 2h), and f(x + 3h)

Consider the ODE (4 + x²)y" - 2xy' + y = 0. Write the general solution of the ODE by finding two power series solutions about the ordinary point x = 0. Write out the first three nonzero terms in each series.

Pls kindly help to show the details step by step to fine the general equation of  taylor series for f(x)=(x-1)/(x+3), thanks