To show that a function f(x) is equal to its Taylor Series f (n ) (0 ) x" at some n! n=0 TO ER, f ( n) (0 ) a) it suffices to show that y x converges at co. n! n=0 b) it suffices to show that f (n) (0 ) M 8 x" converges absolutely at xo. n! n=0 c) it suffices to show that lim Rn.o(x0) = 0. d) f(x) is always equal to f ( n ) (0 ) c" for all x E R. n! n=0 e) None of the above