- #1
MissP.25_5
- 331
- 0
Hello.
I am stuck on this question.
Let {##z\in ℂ|0<|z+i|<2##}, expand ##\frac{1}{z^2+1}## where its center ##z=-i## into Laurent series.
This is how I start off:
$$\frac{1}{(z+i)(z-i)}$$
And then I don't know what to do next. I guess geometric series could be applied later but I don't know how to rewrite this function.
I am stuck on this question.
Let {##z\in ℂ|0<|z+i|<2##}, expand ##\frac{1}{z^2+1}## where its center ##z=-i## into Laurent series.
This is how I start off:
$$\frac{1}{(z+i)(z-i)}$$
And then I don't know what to do next. I guess geometric series could be applied later but I don't know how to rewrite this function.