Ratio Test for Power Series
Computes the radius of convergence as one over the limit of consecutive coefficient ratios, with conventions for a zero or infinite limit.
Proposition 5.10 (Ratio Test for Power Series)
Let be a sequence in such that
exists. Then the power series has radius of convergence
with the convention that if and if .
Related
Stated in
- Proposition 5.10 (Ratio Test for Power Series)§5.2 Basics on Power Series