I need to find the Laurent expansion about 0 for the function:
I've done Laurent expansions before for functions involving , and used the taylor series to expand , but I'm stumped on what to do for this question. I havn't come across any other examples like this..
ok so far my working is as follows:
[replace with in power series for exponential function, to obtain Laurent series]
[as N infinity , the approximation becomes exact for all complex numbers z, except at z=0]
I have now written out 4 non-zero terms for this question and the function, is what I've done correct? Would you add anything in?
Thanks. (I couldn't get the z^-4 to display correctly, sorry for the poor coding!)