Question: 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

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 R (x) - 0.] f(x ) = - 8 = 9 O 1 W H + (x - 9)7 n=0 27 . 32n + 1 . /! 00 01 + (-1)2 (20 - 1)! 27 . 32n + 1 (* - 9)7 WH + (-1 ) 1 . 3 . 5 . . . . . (20 - 1) 20 . 32n + 1 . n! (x - 9)7 n = 1 W H + 1 . 3 . 5 . .. . . (2n - 1) (x - 9)? n = 1 2" . 320 -1 .n! O W | H + M jo+ 1 1 20 . 320 . n! (x - 9)7

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