Find the Taylor Series at X = 0 of F(x) $e ^ { 3 x }$

True/False

Find the Taylor series at x = 0 of f(x) = $e ^ { 3 x }$ by computing four derivatives and using the definition of the Taylor series. Is $1 - 3 x + \frac { 3 ^ { 2 } } { 2 ! } x ^ { 2 } - \frac { 3 ^ { 3 } } { 3 ! } x ^ { 3 } + \frac { 3 ^ { 4 } } { 4 ! } x ^ { 4 } - \ldots$ the correct answer?