Assignment:
Using the fact that 1+x = 4+(x-3), find the Taylor series about 3 for g. Give explicitly the numbers of terms. When g(x)=square root of 1+x
Check the first four terms in the Taylor series above and use these to find cubic Taylor polynomials about 3 for g.
Use multiplication of Taylor series to find the quartic Taylor polynomial about 0 for the function h(x)=(cosx)ln(1+x) evaluating the coefficients.
Provide complete and step by step solution for the question and show calculations and use formulas.