Answer to Question #60894 in Calculus for Raigeda

Question

a)use the binomial series to find the Taylor series about 0 for the function f(x)=(1+x)^-1/5, giving all terms up to the one in x^4, and calculating each coefficient as an integer or a fraction.
b)state an interval of validity for this series.
c)use this series and the Taylor series for cosx to find the cubic Taylor polynomial about 0 for the function f(x)= cosx/(1+x)^1/5.