Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = x4 − 7x2 + 2, a = 2

is a polynomial of degree 4, so its Taylor series will also be of degree 4. We have

and for all . So

(Notice that expanding all the binomials and simplifying gives the same you are given to begin with.)

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step-by-step explanation: