Find a power series representation centered at the origin for the function 1. f(x) = > 1 5n+1 21 1 n=0 f(x) = (5- x) 2. f (x) = _ (n+ 1)x n=0 3. f(x) = > n+1 n=0 4 . f (I ) 1 5n+1 21 n = 5. f(x) = S n 5n n=1 6. f(x) = > n 5n+1 27-1 n=1