Herschfeld's Convergence Theorem
For real, Nonnegative terms 
and Real 
with 
, the expression
converges Iff
is bounded.See also Continued Square Root
References
Herschfeld, A. ``On Infinite Radicals.'' Amer. Math. Monthly 42, 419-429, 1935. Jones, D. J. ``Continued Powers and a Sufficient Condition for Their Convergence.'' Math. Mag. 68, 387-392, 1995.
- Product Formula
- Product-Moment Coefficient of Correlation
- Product Neighborhood
- Product Rule
- Product Space
- Program
- Projection
- Projection Operator
- Projective Collineation
- Projective General Linear Group
- Projective General Orthogonal Group
- Projective General Unitary Group
- Projective Geometry
- Projective Plane
- Projective Plane PK2
- Projective Space
- Projective Special Linear Group
- Projective Special Orthogonal Group
- Projective Special Unitary Group
- Projective Symplectic Group
- Projectivity
- Prolate Cycloid
- Prolate Cycloid Evolute
- Prolate Spheroid
- Prolate Spheroidal Coordinates