2 Let the function f x be defined by f 0 1 and f x for a 0 One can show that the function f is infinitely many times differentiable and that f equals to its Taylor series about x 0 Consider the function g t where a t e 1 a Then the power series representation of g t about t 0 is az t Write x y Write x y Write x y z Write e for e Write cos z for cos z parenthesis are required Write acos z for arccos z parenthesis are required Write In z if Inz parenthesis are required for for ay is required for and parenthesis are required I da