The 5th-degree Taylor polynomial expansion off(x)=cos(x)

f(x)=cos(x)aboutx=0

x=0gives an approximation forf(x)

f(x):

f(x)x

4

24

x

2

2

+1.

f(x)x^4/24x^2/2+1.

Use Taylor's formula for the remainderR

5,0

(x)

R5,0(x)to find the maximum of the absolute error in this approximation forx

xin the interval[,]

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