hey guys ive attached a jpg with the question:

f(x)= sin3x

f'(x)= 3cos3x

f''(x) = -3.3sin3x

f'''(x) = 3.3.3cos3x

I took a=0 and began to input it into the derivations:

f(0) = 0

f'(0) = 3

f''(0) = 0

f''' (0) = 27

but when i put it into the maclaurin series i get 3x + 27x^3/3!

shudnt i get the original formula again? what have i done wrong?