For real, Nonnegative terms and Real with , the expression

converges Iff is bounded.

**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.

© 1996-9

1999-05-25