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.
- Nondividing Set
- Nonessential Singularity
- Non-Euclidean Geometry
- Nonillion
- Nonincreasing Function
- Nonlinear Least Squares Fitting
- Nonnegative
- Nonnegative Integer
- Nonnegative Partial Sum
- Nonorientable Surface
- Nonpositive
- Nonsquarefree
- Nonstandard Analysis
- Nontotient
- Nonwandering
- Nonzero
- Nordstrand's Weird Surface
- Norm
- Normal
- Normal (Algebraically)
- Normal Curvature
- Normal Curve
- Normal Developable
- Normal Distribution
- Normal Distribution Function