Question 4 - A-Level Maths

Write down the expansion of $\sin 3 x$ in ascending powers of $x$ up to and including the term in $x ^ { 3 }$.
Find $$\lim _ { x \rightarrow 0 } \left[ \frac { 3 x \cos 2 x - \sin 3 x } { 5 x ^ { 3 } } \right]$$