Expanding a function for large E using the Taylor Expansion technique

[CricK0es]

Homework Statement

Obtain leading order behaviour of function

Relevant Equations

*See attached image*

I have been playing around with Taylor expansion to see if I can get anything out but nothing is jumping out at me. So any hints, suggestions and preferably explanations would be greatly appreciated as I’ve spent so so long messing around with it and I need to move on...

But as always, thank you

 

[pasmith]

We have $$\left(C + \frac{D}{E}\right)^{-1} = \frac{1}{C} \left(1 + \frac{D}{CE}\right)^{-1}.$$ For sufficiently large $|E|$ we have $|D/(CE)| < 1$ so we can use a binomial expansion.

 

[CricK0es]

Ahhhhhh Binomial! Okay. Always seems to be simple things that I don’t recognise that hold me up... pffh Nevermind.

Thank you!