Find the Taylor series centered at c = 1. 3 3x2 f(x) = Identify the correct expansion. O32 3n (x+1)" nl n=0 5 Oi 3n (QC2)" n+1 n=0 3 O 3\" n 3 2; 5n+1(x +1) Oi3n'3(x+1)" n+1 n=0 5 Find the interval on which the expansion is valid. (Give your answer as an interval in the form (*,*). Use the symbol 00 for innity, U for combining intervals, and an appropriate type of parenthesis "(",")", " [","]" depending on whether the interval is open or closed. Enter 25 if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)