Taylor series of analytic functions
General · Mathematics
Study notes
Q: Find the Taylor series of 1/(1-z) about 0. Radius? 1/(1-z) = Σzⁿ (geometric!), aₙ = 1. Check: fⁿ(0) = n!: aₙ = n!/n! = 1 ✓! Radius: singularity at z = 1: R = 1! (Distance to nearest singularity = radius!)