Taylor polynomials Find the nth-order Taylor polynomial for the following functions with the given center point a.
f(x) =cosx, n = 2, a = π/4
In this problem we have to find the -order Taylor polynomial for function with the given center point a=.
Taylor series is given by
In our case,
So, what we need to do to get desired polynomial is to calculate derivatives, evaluate them at the given point and plug results into given formula.