1. sin^3 (2x)/ sin^3 (3x) as x - 0
2. 1-cosx/2x^2 as x -0
3. sin (ax) / sin (bx) as x -0
how do i go about these?
Hint: $\displaystyle \displaystyle \begin{align*} \lim_{X \to 0}\frac{\sin{(X)}}{X} = 1 \end{align*}$ and $\displaystyle \displaystyle \begin{align*} \lim_{X \to 0}\frac{\cos{(X)} - 1}{X} = 0 \end{align*}$. See if you can manipulate your expressions so they look something like these.