009C Sample Final 2, Problem 5

Find the Taylor Polynomials of order 0, 1, 2, 3 generated by $f(x)=\cos(x)$ at $x={\frac {\pi }{4}}.$

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

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