- #1
Pyroadept
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Homework Statement
Find the radius of convergence of the Taylor series at 0 of this function
f(z) = [itex]\frac{e^{z}}{2cosz-1}[/itex]
Homework Equations
The Attempt at a Solution
Hi everyone,
Here's what I've done so far:
First, I tried to re-write it as a Laurent series to find where the closest singularity to 0 is.
e^z = Ʃ(x^n)/n!
cos z = Ʃ (-1)^n . x^2n / (2n)!
However, I'm a little unsure how to combine these into a single laurent series. Is this even going about the problem in the correct way?
Thanks