Approximationsa. Find the Taylor polynomials of order n = 0, 1. and 2 for the given functions centered at the given point a.b. Make a table showing the approximations and the absolute error in these approximations using a calculator for the exact function value.f(x) = cos x, a = 0; approximate cos(?0.08).

Solution 8REStep 1:The general notation of a taylor series is given by Here when a=0 the series is called maclaurin series.Here We need to find the Taylor polynomials of order n = 0, 1. and 2 for the given functions centered at the given point a.Therefore the taylor series for f(x)=cos x and a=0 is For order For order For order Step 2:Therefore the taylor series for order n=0 is Therefore the taylor series for order n=1 is Therefore the taylor series for order n=2 is