Question

Expand log cos x about π/3 using taylors expansion

Answer 1

•AnsWeR:-

The given function is f(x)=log(cosx). We have to find the Taylor's series expansion of the given function upto the fourth degree term. So, we will compute upto the fourth derivative of the given function. The value of the function at x=π3 is f(π3)=log(cosπ3)=log(12).