Solved by verified expert:(a) Use the binomial series to find the Taylor series about 0 for the function f(x) = (5 + x)^-3; giving all terms up to the one in x^3, and calculating each coefficient as an integer or a fraction. (b) State the largest interval of validity for this series. (c) Use this series and the Taylor series about 0 for cos x to find the cubic Taylor polynomial about 0 for the function f(x) =(cos x)/(5 + x)^3