Find the Taylor series of f(x) = centered at c = 8. Choose the Taylor series. = {(-1)*+1 (x – 8)* 7*+1 n=0 7n+1 (-1)"- %3D (x – 8)" n=0 =(-1)a+1 (x – 7)" 8*+1 00 - x n=0 1 ,(x – 8)*+1 1- x (-1)". 7" n=0 dentify 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 ype of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) The expansion is valid for: