Find the Taylor series of f(x) = Choose the Taylor series. O O 1 1 - X - X 1 - X 1 - X = n=0 = Σ(−1)n+1 (x-7)″ gn+1 =Σ(-

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Find the Taylor series of f(x) = Choose the Taylor series. O O 1 1 - X - X 1 - X 1 - X = n=0 = Σ(−1)n+1 (x-7)″ gn+1 =Σ(-1)²+¹ n=0 - = = Σ (−1)″ (x − 8)″+1 7" n=0 00 - Σ (1) n=0 1 - X 7″+1 (x − 8)" - (x-8)" 7+1 The expansion is valid for: centered at c = 8. Identify the interval on which the expansion is valid. (Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Øif the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)