Use the substitution $(b+x)^r = (b+a)^r \left(1 + \frac{x-a}{b+a}\right)^r$ in the binomial expansion to find the Taylor series of the function below with the center $a = 2$. $f(x) = (3-x)^2$ Provide your answer below. $\sum_{n=0}^8 \Box \left(\Box \right)_n \left(\Box\right)^n$
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The general equation of a circle with center (a, b) is (x - a)^2 + (y - b)^2 = r^2, where r is the radius of the circle. Since the center is (2, 0), the equation becomes (x - 2)^2 + (y - 0)^2 = r^2. Show more…
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