009C Sample Final 2, Problem 8

Find  $n$  such that the Maclaurin polynomial of degree  $n$  of  $f(x)=\cos(x)$  approximates  $\cos {\frac {\pi }{3}}$  within 0.0001 of the actual value.

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

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