I want to find the laurent series of $f(z)=\exp(1/z)$.
I started with the formula for laurent series: $f(z)=\sum_{0}^{\infty} a_n (z-z_0)^n +\sum_{1}^{\infty} b_n (z-z_0)^{-n}$, but I don't know how to apply it.
Can someone help me find the series?
I want to find the laurent series of $f(z)=\exp(1/z)$.
I started with the formula for laurent series: $f(z)=\sum_{0}^{\infty} a_n (z-z_0)^n +\sum_{1}^{\infty} b_n (z-z_0)^{-n}$, but I don't know how to apply it.
Can someone help me find the series?
(Posting a comment as an answer)
Do you know the series expansion for $f(w)=e^w$? If you do, write that out and then see what happens when $w=1/z$.