- #1
Physgeek64
- 247
- 11
Homework Statement
Cassify the singularities of [itex]e^\frac{1}{z} [/itex] and find the Laurent series
Homework Equations
[itex]e^\frac{1}{x} [/itex]=[itex]\sum \frac{(\frac{1}{x})^n}{n!}[/itex]
The Attempt at a Solution
Theres a singularity at z=0, but I need to find the order of the pole
So using the general expression for the expansion of an exponential:
[itex]e^\frac{1}{z} [/itex]=[itex]\sum \frac{(\frac{1}{z})^n}{n!}[/itex] but this leads to a 1 as the first term, which is obviously not consistent.
I also tried considering re-defining a new variable for [itex]\frac{1}{z} [/itex], but I'm not really sure how to proceed from here
Many thanks :)