Second Order Approximation for a Polynomial

if I have an expression: $L=\frac{12{a}^{3}{d}^{3}-4w{a}^{3}{d}^{2}+16{a}^{2}{d}^{2}-4w{a}^{2}d+6ad+1}{12{a}^{3}{d}^{3}-4w{a}^{3}{d}^{2}-4{a}^{2}wd+16{a}^{2}{d}^{2}+7ad-aw+1}$ what is the second order approximation in $\frac{d}{w}$?

I know that $(\frac{d}{w}{)}^{2}$ can be ignored but what about $\frac{{d}^{2}}{{w}^{3}}$. At this instant (without knowing the actual values of d wrt w) can we ignore this too? What about if we have (d/w=0.001)? Also how would the first order approximation in (d/w) be different in both cases?

if I have an expression: $L=\frac{12{a}^{3}{d}^{3}-4w{a}^{3}{d}^{2}+16{a}^{2}{d}^{2}-4w{a}^{2}d+6ad+1}{12{a}^{3}{d}^{3}-4w{a}^{3}{d}^{2}-4{a}^{2}wd+16{a}^{2}{d}^{2}+7ad-aw+1}$ what is the second order approximation in $\frac{d}{w}$?

I know that $(\frac{d}{w}{)}^{2}$ can be ignored but what about $\frac{{d}^{2}}{{w}^{3}}$. At this instant (without knowing the actual values of d wrt w) can we ignore this too? What about if we have (d/w=0.001)? Also how would the first order approximation in (d/w) be different in both cases?