Root Test for Power Series
Computes the radius of convergence as one over the limit of the n-th roots of the coefficient sizes, with conventions for a zero or infinite limit.
Proposition 5.9 (Root 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 5.9 (Root Test for Power Series)§5.2 Basics on Power Series