Find T5x Taylor polynomial of degree 5 of the function fxco

Find T5(x) : Taylor polynomial of degree 5 of the function f(x)=cos(x) at a=0 . (You need to enter function.) T5(x)= Find all values of x for which this opproximation is within 0

Solution

The error is |cos(s)^(6)*x^6/6!|<=0.02652 where cos(s)^(6) is the sixth derivative, which is bounded by 1 we get |x^6|<=0.002652*720 |x|<=(0.002652*720)^(1/6)=1.113827 |x|<=1.113827