FranzS
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- TL;DR Summary
- How complex singularities affect Taylor series
Hello,
I've always been fascinated by the fact that even strictly-complex singularities determine the radius of convergence of the (real) Taylor series of a (real) function that doesn't have any singularities in ##\mathbb{R}##.
Can anyone provide an intuitive explanation besides the rigorous math behind this (assuming the rigorous math is not intuitive, but I may be wrong)?
Thanks!
I've always been fascinated by the fact that even strictly-complex singularities determine the radius of convergence of the (real) Taylor series of a (real) function that doesn't have any singularities in ##\mathbb{R}##.
Can anyone provide an intuitive explanation besides the rigorous math behind this (assuming the rigorous math is not intuitive, but I may be wrong)?
Thanks!