Expanding Inhomogeneous Poisson Processes Using Taylor Series

[MathsStduent]

I'm at the end of a very long Poisson Processes question, involving inhomogeneous Poisson Processes. I just need to be able to expand the following expression to be able to complete the question.

exp[{(sin ∏h)/∏} -h]

Would anyone please be able to provide some help, with steps please!

 

[mfb]

Just use the taylor series for sin (I guess h is small?), simplify, take the first orders and put it into the taylor series for the exp?

with steps please!

It is your task, we won't give you solutions here.