Find a power series representation for the function. (Give your power series representation centered at x = 0.) 2 _ x \"\"'m WS ) n=0 X Determine the interval of convergence. (Enter your answer using interval notation.) E Find a power series representation for the function. (Give your power series representation centered at x = 0.) x>=:;: (S > n20 X Determine the interval of convergence. (Enter your answer using interval notation.) S Find a power series representation for the function. f(x) = X2 tan1(x3) "(X)=i(-) n=0 Determine the radius of convergence, R. Find a power series representation for the function. (Give your power series representation centered at x = 0.) g(x) = x5 |n(1 + x) n=1 Evaluate the indefinite integral as a power series. [x5 |n(1 + x) dx rm = c+n:1(S) What is the radius of convergence R? Evaluate the indefinite integral as a power series. tan -1(x) dx X f ( x ) = c+ to n = 0 What is the radius of convergence R? R =