- #1

- 479

- 12

The following is the working, and we assume that ##\beta## is small

$$\frac{1}{1+ \beta \hbar \omega /2 + (7/12)(\beta \hbar \omega)^2 +...} \approx 1 - (\beta \hbar \omega)/2 + (5/12) (\beta \hbar \omega)^2 +...$$

I thought of trying the Taylor expansion for ##1/(1-x)## where the ##x## was everything apart from the "1" in the reciprocal term on the LHS but it doesn't seem to work.